A natural number can be decomposed into three prime factors. The sum of their squares is 7950. How to find this natural number?

A natural number can be decomposed into three prime factors. The sum of their squares is 7950. How to find this natural number?

a*a+b*b+c*c=7950
By parity, only 2 is even prime, so there must be prime factor 2
So the problem becomes b * B + C * C = 7946 = 90
If B + C = 90
bc=77
b+c=92
bc=259=7*37
b+c=94
bc=445=5*89
The number is 890
b+c=96
bc=5*127
The back doesn't meet the requirements