76957286401 has 2 divisors, whose sum is σ = 76957286402. Its totient is φ = 76957286400.

The previous prime is 76957286387. The next prime is 76957286407. The reversal of 76957286401 is 10468275967.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75295908801 + 1661377600 = 274401^2 + 40760^2 .

It is a cyclic number.

It is not a de Polignac number, because 76957286401 - 2³³ = 68367351809 is a prime.

It is not a weakly prime, because it can be changed into another prime (76957286407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38478643200 + 38478643201.

It is an arithmetic number, because the mean of its divisors is an integer number (38478643201).

Almost surely, 2^76957286401 is an apocalyptic number.

It is an amenable number.

76957286401 is a deficient number, since it is larger than the sum of its proper divisors (1).

76957286401 is an equidigital number, since it uses as much as digits as its factorization.

76957286401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 76957286401 in words is "seventy-six billion, nine hundred fifty-seven million, two hundred eighty-six thousand, four hundred one".