I'm not sure how much that GPU of yours consumes on idle, but let's say that the system is 150W on idle. I assume that your system is mainly idle unless you're gaming all day long. Thus using 150W of 620W isn't excatly at the top of the efficiency on that unit.
Most units are at their peak effiency at ~45% load, which in your case would lead to looking for something in the 330-380W range. So let's look at a Seasonic S12II-330 and it's efficiency
HERE. And what do you know, it's at it's most effective just around the 45% mark resulting in just under 150W load. This unit also handles your system without a doubt under full load. So, there you go