76369875201 has 27 divisors (see below), whose sum is σ = 111055885473. Its totient is φ = 50572233000.

The previous prime is 76369875193. The next prime is 76369875221. The reversal of 76369875201 is 10257896367.

The square root of 76369875201 is 276351.

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

76369875201 is a `hidden beast` number, since 7 + 6 + 36 + 9 + 87 + 520 + 1 = 666.

It is not a de Polignac number, because 76369875201 - 2³ = 76369875193 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76369875221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 208092120 + ... + 208092486.

Almost surely, 2^76369875201 is an apocalyptic number.

76369875201 is the 276351-st square number.

76369875201 is the 138176-th centered octagonal number.

It is an amenable number.

76369875201 is a deficient number, since it is larger than the sum of its proper divisors (34686010272).

76369875201 is an frugal number, since it uses more digits than its factorization.

76369875201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 76369875201 in words is "seventy-six billion, three hundred sixty-nine million, eight hundred seventy-five thousand, two hundred one".