Can I use a DC to AC power inverter to power 2x 350watt amplifiers using a 12V deep cycle Marine battery?

I need it to last about 5 hours. Can I calculate the draw of the amp from the converter? Is it better to get a bigger converter (500a vs 1000a maximum) Any suggestions of how to get 5 hours of music from 2-350watt speakers with amplifiers built in?