Find the last digit of (1! + 2! +...+ 1982!)^1982

From a channel Lumen includes in full: Prime Newtons is a maths teacher solving olympiad, algebra and calculus problems on a blackboard, explaining each technique and working every step.

A 9-minute video from Prime Newtons's catalogue; the title names its topic.

Video by Prime Newtons, played through YouTube's embedded player.