Can you find an eight digit number ?

Can you find an eight digit number with the following property. The first digit tells you how many zeros there are in the number, the second digits tells you how many ones there are in the number, the third digit tells you how many twos there are in the number, etc. For example, with the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours. What is the required eight digit number?

The answer is 42101000
There are
4 zeros
2 ones
1 two
0 threes
0 fours
0 fives
0 sixes
0 sevens

i m not able to get the answer but i can tell one thing that sum of digits of such number will be 8.

ya i think james s correct ,,, it satisfies all the conditions