MATH NUMBER PUZZLE!

find a 9-digits number, consist of 1 to 9, use each number only once.
so that:
the first 8 digits represent a number that can be divided by 8,
the first 7 digits represent a number that can be divided by 7,
the first 6 digits represent a number that can be divided by 6, and so on....
remember, never look for the answer until you give your best effort to find it.

the answer is:
to solve this math question, you should know about the test of divisibility of a number.
such:
a number can be divided by 2 if it is even.
a number can be divided by 3 if the sum of all the digits can be divided by 3
a number can be divided by 4 if its last two digits number can be divided by 4
and so on...
so the answer is:381654729