Get the number right.

*None of the digits repeat.
*It is between 20,000 and 77,777
*The digit in the thousands place is 3 times the digit in the ten thousands place
*The ones digit is a prime number
*The hundred digit is half the sum of the ones, thousands, and tan thousands digits
*The tens digit is the product of two other digits

10,000s must be 1,2,3 and 1,000s = 3,6,9

so, we have 26xxx or 39xxx because n>20,000.

ones is 2,3,5,7
no repeats, and the sum of 1,1000,1000 is even, so we have

39xx2
397x2

10s is product of 2 digits, and must be less than 8, so
6:

39762