Thats not good...have you tried pressing the Display button see if that is stuck maybe? I'd say do a system reset but you need to see the LCD to do that. You can also try removing the batteries both the main and date/time battery and hold the power on lever in the on postion for at least 45 seconds,, then reinstall the batteries.
In the event it is not an easy fix those can be bought used on auction sites in working condition for way less than a repair will cost.
