Trying to zero an 80gig HDD is insane!
First Run the Apple hardware diagnostics test and other disk checkers like Norton SystemWorks and DiskWarrior to see if your HDD is fine.
If nothing is wrong, try doing a quick format (not zero) first. If nothing crops up, and you still want to wait another 10 hours, go ahead a zero it.
If you encounter the same problem, perhaps you have a bad sector or some other hardware problem. Try sending it back to Apple and get if fixed.