Small Microwave for Honda 1000 Genny

I'm looking for a small microwave that I can run with my Honda 1000. I picked up a GE .7Cubic ft, 700 watt unit and my Honda will only run it for about 8 seconds before overload protection kicks in. I see some 600 watt units available online. Any guesses as to whether the little Honda can run it??? Thanks in advance.