Has an Olympic Basketball (Men) game ever ended 82-77?
Exactly once. On August 8, 2012, Argentina beat Brazil 82-77, and no Olympic Basketball (Men) game before or since has ended that way. When it happened it was a scorigami, the first 82-77 in league history.
That makes 82-77 the 126th most common final score out of 698 that have ever occurred in Olympic Basketball (Men). One point away, 83-77 has happened never and 82-78 has happened 1 times.