I had a ~750 W inverter from 1999-2010 that worked very well for me, but it bit the dust halfway through the 2010 chase season. The one that I bought as a replacement is rated similarly, but it's very, very noisy from an RF standpoint. Whenever the inverter is on, my ham radio is much less useful with significantly more noise (e.g., with the inverter off, I can hear stations just fine; with the inverter on, I just get static). I've tried to keep the antenna coax as far away as possible from the inverter and its cables (both the DC power cables and the AC extension cord connecting a surge protector in the front seat with the inverter in the trunk). This has helped a little, but I still turn off the inverter every time I need to transmit on the ham or when I want to listed to a station with a relatively weak signal. It's a major pain in the butt, and I've thought about building a cage to place around the inverter in hopes of squashing some of this RF noise. I've checked the ground and all other connections, and they're all solid, so I'm not sure why this particular inverter is so noisy.
I'd really like to have a pure sine wave inverter, but I can't justify the cost with how much I use it (pretty much only during chase season).