Calvin's favorite number \(N\) has the following properties:

- \(N\) has 8 distinct digits.
- The digits of \(N\) are strictly decreasing from left to right.
- \(N\) is divisible by 180.

What are the first three digits of Calvin's favorite number?

This problem is posed by Muhammad A.

**Details and assumptions**

The first three digits of \(1023\) are \(102\). Ignore any leading zeroes.

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