76604488255201 has 9 divisors (see below), whose sum is σ = 81375860114899. Its totient is φ = 72098201848864.

The previous prime is 76604488255123. The next prime is 76604488255219. The reversal of 76604488255201 is 10255288440667.

The square root of 76604488255201 is 8752399.

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

It can be written as a sum of positive squares in only one way, i.e., 59640172517025 + 16964315738176 = 7722705^2 + 4118776^2 .

It is not a de Polignac number, because 76604488255201 - 2¹⁵ = 76604488222433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76604488255231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 148533360 + ... + 149048206.

Almost surely, 2^{76604488255201} is an apocalyptic number.

76604488255201 is the 8752399-th square number.

76604488255201 is the 4376200-th centered octagonal number.

It is an amenable number.

76604488255201 is a deficient number, since it is larger than the sum of its proper divisors (4771371859698).

76604488255201 is an frugal number, since it uses more digits than its factorization.

76604488255201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029728 (or 514864 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 58.

The spelling of 76604488255201 in words is "seventy-six trillion, six hundred four billion, four hundred eighty-eight million, two hundred fifty-five thousand, two hundred one".