Number of the Positive integral divisors of the number$N=2^3.3^5.5^7.7^9$  which are perfect square

The divisor is perfect square each prime factor must occur even number of times 2 can be taken in 2 ways $\left(2^0\text{ or }{2}^2\right)$

3 can be taken in 3 ways $\left(3^0\text{ or }{3}^2\text{ or }{3}^4\right)$

5 can be taken in 4 ways $\left(5^0{\text{ or 5}}^2{\text{ or 5}}^4{\text{or 5}}^6\right)$

7 can be taken in 5 ways $\left(7^0{\text{ or 7}}^2{\text{ or 7}}^4{\text{or 7}}^6{\text{or7}}^8\right)$

No of divisors which are perfect squares =2(3)(4)(5)=120