Without reads or villain/hero descriptions, I think hero's flop check is bad.  Hero should be c-betting this board 100% of time with 100% of range, imo.  i'd prob. fire barrel 2 on turn some non-zero percentage of the time.  As, played, River is a snap call here. 

Before we just snap call this river as the hero, lets put the villain on a range of hands that he would shove this river with. He either has a boat, or complete air. He is never shoving a weaker ace like aq/aj. Also, from the villains point of view the hero's hand is pretty face up. It looks like ak/aq/aj, or pocket aces. The villain is not going to think that he can push the hero off a big ace on this river so he almost always has a 6 or an 8. both have the same relative strength because the hero shouldn't have an 8 in his utg+1 raising range. Villain should be folding to the shove on the river even though we have TPTK. The villain just isn't likely to be bluffing here at all. 

On a side note. You probable shouldn't be flatting 78suited to an utg+1 opener when he starts the hand with 27bb. The stacks just aren't deep enough. It's like having a small pp in this spot. We couldn't flat with one because we arent getting the right odds to set mine