I can't find any solid specifications about that PSU and the search results from Google aren't pretty.
This forum post seems to indicate that the PSU delivers 50A on the +12V rail, where the major components draw power from. That would give the PSU a maximum wattage of 600W. As the post rightly points out, this is probably peak output rather than sustained output. In other words, running at close to 600W for extended periods of time will probably fry the PSU.
http://www.tomshardware.co.uk/answers/id-1706592/good-replacement-xtremegear-psu.html
I would definitely change the PSU before you Crossfire an R9 390. In fact, I wouldn't even trust that PSU to run a single 390.
There's a PSU tier list here which gives you a breakdown of what to buy and what to avoid; http://www.tomshardware.co.uk/forum/id-2547993/psu-tier-list.html. Depending on the other components in your PC and whether or not you're overclocking, I would recommend a PSU with 1000W. Seasonic are arguably the best in the business followed by XFX, which are essentially re-badged Seasonics.