75693765625 has 63 divisors (see below), whose sum is σ = 99162968979. Its totient is φ = 57776250000.

The previous prime is 75693765617. The next prime is 75693765649. The reversal of 75693765625 is 52656739657.

The square root of 75693765625 is 275125.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 66315005289 + 9378760336 = 257517^2 + 96844^2 .

It is not a de Polignac number, because 75693765625 - 2³ = 75693765617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1066109340 + ... + 1066109410.

Almost surely, 2^75693765625 is an apocalyptic number.

75693765625 is the 275125-th square number.

75693765625 is the 137563-rd centered octagonal number.

It is an amenable number.

75693765625 is a deficient number, since it is larger than the sum of its proper divisors (23469203354).

75693765625 is an frugal number, since it uses more digits than its factorization.

75693765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 107 counting only the distinct ones).

The product of its digits is 71442000, while the sum is 61.

The spelling of 75693765625 in words is "seventy-five billion, six hundred ninety-three million, seven hundred sixty-five thousand, six hundred twenty-five".