200kwh/year = 22.8 watts/hr 24/7
However, you need to define WHERE the unit will be run. My 28 cu ft double door fridge/freezer average 59 watts/hr in winter and 76 watts/hr in summer. What causes that 32% difference? House is 68F winter and 78F in summer. That freezer's rating is for a home environment so probably not above 78F. What temperature will you be using it in? If you can find the testing standard, you might be able to find the temperature at which they determined that power usage.
If we extrapolate from my fridge/freezer, running it at 88F would be another 32% increase or now 100 watts/hr. At 98F that would be 132 watts/hr.
You really do need to use a Kill-A-Watt or similar to check the power draw of an appliance AS YOU WILL USE IT. You said "inverter" so I'm talking AC power and the Kill-A-Watt is king. Lowe's might not look kindly at you rolling the freezer out in the hot asphalt parking lot and running a LONG extension cord for power, but perhaps that's what you should do.
At the 22.8 watts/hr average draw, 180AH would last about 27 hours and you would need 300 watts of solar if you have 5 hours of sun and 500 watts of solar if you have 3 hours of sun. YOU HAVE NO CUSHION FOR A RAINY DAY. Cushion would require doubling the battery bank (360AH) and doubling the solar power to be able to charge two days' use in one day of sun in case the next day is rainy. If you don't want to plan for clouds and rain, forget solar and use an inverter generator.
Using the 32% increase per 10F ambient temperature increase, a 10F increase would take the average power to 30 watts/hr and 180AH would last 22.6 hours. Another 10F increase would take the power to 39.7 watts/hr and 180Ah would last 18.5 hours. Another 10F increase would take the power to 52.4 watts/hr and 180AH would last 14.9 hours and you would need a minimum of 500 watts of solar to keep the batteries charged day by day.
Because your inverter has some amount of idle current (power it uses whether or not running a load) I'm including a 1.2 amp steady state idle current (high end for an inverter that size) in these figures.
In response to solar panels delivering 20-25% less than their ratings: Those ratings are STC (Standard Test Conditions) which specify 1000 lumens of illumination and the panels at 25C. If the panels is in the sun and it's not freezing, they will be warmer than that and produce less power. For planning, you should use the NOCT rating (is the panel doesn't have one, multiply the rated power by 0.73 to get the NOCT value. What you get depends on the panel type, the maker, the wind and you local sunshine. I have "100 watt" panels from four different makers that never do better than 75 watts in backyard sun (real world testing). However, I have two Jinko 250 watt panels that each deliver 235 watts in that same location (that's 94% of rating). Ignore wattage ratings on the panels from banggood.com and the like as they are nearly always inflated. The Imp and Vmp say it's 49 watts and the copy says 100 watts. Also their DC-AC inverters. Their is a "4000 watt" inverter that has 'Do not exceed 550 watts" in the fine print. Definitely read ALL the fine print.
I use a (very complex) spreadsheet that I created to get the runtime for a given battery bank and a given load. It uses 90% inverter efficiency (tested value of the inverter I use at the power levels it is used at - the efficiency goes down as the load exceeds 50-60% of the inverter's capacity). You can download the 12 volt version that spreadsheet here:
http://www.jecarter.us/files/My-Solar-Generator.xls There's also a version for higher voltage battery banks but it doesn't get updated often.
Your battery runtime is also affected by how heavily it is loaded. A 100AH battery is speced to deliver 5 amps for 20 hours. It will NOT deliver 10 amps for 10 hours or 20 amps for 5 hours unless you're using high discharge lithium batteries. Battery operation is based on a chemical reaction and that reaction is limited by the design of the plates and the method of keeping the electrolyte in place against those plates (or films or whatever that specific battery's construction is).
If you just want the "cool" mentioned in a later post, get a freezer to fridge conversion kit (separate thermostat in the fridge temperature range) and run that freezer as a fridge. It will run less because it's not getting as cold. You don't lose the cool when you open the door as you do when you open a fridge. Probably less then $50 and you might find it listed under "freezer to fridge" or "freezer to kegerator".