Save yourself the money. The 9590 isn't worth it, and with the money you could get a much faster Intel CPU. That, and you're spending a whole lot more on your CPU than your GPU, which is a big no-no.
And if you're gonna ask why,
1: The 9590 runs incredibly hot, which in terms you NEED a heavy cooling solution.
2: Only a few motherboards support the CPU, and they're all expensive.
3: Power hog. I think it's something like 200+TDP? without overclocks.
Don't buy the 9590. It's a waste. You can get get the same results with a good 8320 or 8350.
Either way, the CPU will draw quite a bit of power. Depending on your psu, you might have to change it. If its a lower quality PSU definitely try and change it. If its a higher quality one, it'll be pushing the limit a bit. But with a 5770, you should still be fine.
Another option is to consider an i5 + z97 motherboard. It would be cheaper than the 9590, because the 9590 also has a limited number of motherboards that it can work with anyways.
Agreed, anything beyond an fx-8350 is a waste of money.
Intel cpus are faster and cheaper.
The best allocation of funds would be to get a 990fx mobo, fx-8320 and then the best gpu you can within your budget
you should avoid getting the 9590 not only because it is a power hog but , paired with such gpu is a terrible combination. with 320$ that 9590 cost you can have a 8320 and 150$ for spending on 750ti way better than hd 5770 and be able to run it on any 500w psu