# What's My Number?

Calvin's favorite number $$N$$ has the following properties:

1. $$N$$ has 8 distinct digits.
2. The digits of $$N$$ are strictly decreasing from left to right.
3. $$N$$ 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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