# A number theory problem by Vicky Vignesh

A number $$N$$ is defined as follows:

$N = \sum_{i=20}^{120} i!$

Find the remainder when $$N$$ is divided by 720.

Clarification : $$n!$$ represents factorial notation. For example, $$8! = 8 \times 7 \times \ldots \times 1$$

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