77757268407831 has 24 divisors (see below), whose sum is σ = 114164868455664. Its totient is φ = 50987221148160.

The previous prime is 77757268407829. The next prime is 77757268407913. The reversal of 77757268407831 is 13870486275777.

It is a happy number.

77757268407831 is a `hidden beast` number, since 7 + 7 + 7 + 572 + 6 + 8 + 40 + 7 + 8 + 3 + 1 = 666.

It is not a de Polignac number, because 77757268407831 - 2¹ = 77757268407829 is a prime.

It is a super-2 number, since 2×77757268407831² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77757268407831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77757268407331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 97143546 + ... + 97940711.

It is an arithmetic number, because the mean of its divisors is an integer number (4756869518986).

Almost surely, 2^{77757268407831} is an apocalyptic number.

77757268407831 is a deficient number, since it is larger than the sum of its proper divisors (36407600047833).

77757268407831 is a wasteful number, since it uses less digits than its factorization.

77757268407831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195084991 (or 195084988 counting only the distinct ones).

The product of its (nonzero) digits is 774466560, while the sum is 72.

The spelling of 77757268407831 in words is "seventy-seven trillion, seven hundred fifty-seven billion, two hundred sixty-eight million, four hundred seven thousand, eight hundred thirty-one".