Its an '82 based on the serial number. Gearcases have different P/Ns but I don't know if that means they wont cross. P/N for your gearcase is 0392471 and the one on the 78 is a 0388753. Both of those numbers are for the 20" unit.
Check out the "Top Secret File" sticky at the top of the page, there is a conversion chart there.