Marothgar

I recently fell in love with the Samsung 590d 4k monitor and as I usually spend my time content producing (Premiere/AE/C4D) I think its the right monitor for me. However, I do enjoy gaming in my downtime and the 60hz refresh will do me fine (My current monitor is 59hz) my MSI GTX770 just wont handle 4k gaming so I want to know what the experience is like gaming @1080p on a 4k display? I know that running far below a monitors resolution isn't great, but I hope it will do. Thanks!