Puzzle for the day!

[complicatedliar]

Given that 37! = 13763753091226345046315979581abcdefgh0000000, determine, with a minimum of arithmetical effort, the digits a, b, c, d, e, f, g, and h.

Calculators are cheating, dear ones. And cheaters never win.

First to find the solution shall be monarch for the day!

Comments

[skeletonenigma]

Something else we have in common. I assume you do this every day, then?

[Added as an afterthought] How often do people respond?

[complicatedliar]

Thus far, three of the four days I've been here. On the missing day we were whisked off to wander about the town.

Not terribly many, but there are a few out there interested in maths.