i don't know about SF-7800 but for AR 55165 here H4 means heater problem.
If any one faces error H4 problem on sharp AR 55165
press fast the below keys and 99.9% on the case will be solved.
1. Press #, interrupt, c, interrupt
2. Enter 14, press start
wait for few seconds and it will work
Eng. Pritesh Doshi +249912379384, October 2012