It can be nice to have a larger inverter just for items that have a high startup demand (like motors), but as icarus stated, it's a lot of draw on the batteries.
I'm currently running a 4 battery bank with a Xantrex 1000 watt pure sine inverter and I'm very pleased with it - am using it with some solar panels at home as a test bed and backup power when the grid goes down, with the plan of eventually transferring the whole system into an RV. I'll expect to have 4-500 watts of PV charging the battery bank, and have no need for a generator at all. With a gas stove / heater and LED lighting, this should easily handle all of the electrical needs we'll have (stereo, flatscreen entertainment system, microwave, blender, toaster, electric blanket, lighting, fans, computer and wireless, charging gadgets, etc) - but not AC.
I wouldn't consider running a large inverter on any less than my 4 'golf cart' battery bank - 4 6 volt batteries wired up as a single 12v bank.
You'd also want to locate the inverter right next to the batteries, I have 1/0 cable feeding the inverter - this is fat, heavy, expensive wire!