75776325625 has 225 divisors, whose sum is σ = 131201170155. Its totient is φ = 43603560000.

The previous prime is 75776325617. The next prime is 75776325643. The reversal of 75776325625 is 52652367757.

The square root of 75776325625 is 275275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 74846563561 + 929762064 = 273581^2 + 30492^2 .

It is not a de Polignac number, because 75776325625 - 2³ = 75776325617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

Its product of digits (18522000) is a multiple of the sum of its prime divisors (36).

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 224 ways as a sum of consecutive naturals, for example, 5828948119 + ... + 5828948131.

Almost surely, 2^75776325625 is an apocalyptic number.

75776325625 is the 275275-th square number.

75776325625 is the 137638-th centered octagonal number.

It is an amenable number.

75776325625 is a deficient number, since it is larger than the sum of its proper divisors (55424844530).

75776325625 is an frugal number, since it uses more digits than its factorization.

75776325625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 36 counting only the distinct ones).

The product of its digits is 18522000, while the sum is 55.

The spelling of 75776325625 in words is "seventy-five billion, seven hundred seventy-six million, three hundred twenty-five thousand, six hundred twenty-five".