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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