Is it just a coincidence that 675,000 == 22,500 * 30 == 750 * 30 * 30? or was it a mistake, or was it intentional?
If we assume that the judge told them that the minimum penalty per song was $750, and there were 30 songs infringed, bringing us to minimum damages of $22,500... what happened next:
a) they coincidentally decided to punish him by awarding 30x the minimum judgment -- a nice round number (bigger than 10 but less than 50)
b) or they misunderstood the judge's instructions -- they thought that $22,500 was the minimum per song, and so actually awarded the minimum they thought possible -- 30 * 22,500 = $675,000
c) or lastly, they intentionally chose that since he pirated n=30 songs, they would punish him at n^2 * 750... In other words, they chose to punish him exponentially in relation to his crime(s).
As far as I see it, if it's a) that seems a rather arbitrary number, and arbitrarily wide range of punishment for a simple act which harms no one. If it was b) then this sounds like some kind of mistrial or jury reboot.. and if it was c) well... exponential damages sounds like cruel and unusual punishment to me. How does $675,000 fit the crime?