76927131801 has 36 divisors (see below), whose sum is σ = 122592277548. Its totient is φ = 46446521472.

The previous prime is 76927131791. The next prime is 76927131829. The reversal of 76927131801 is 10813172967.

76927131801 is a `hidden beast` number, since 7 + 69 + 271 + 318 + 0 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 432848025 + 76494283776 = 20805^2 + 276576^2 .

It is not a de Polignac number, because 76927131801 - 2¹⁷ = 76927000729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76927131101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396526 + ... + 557751.

It is an arithmetic number, because the mean of its divisors is an integer number (3405341043).

Almost surely, 2^76927131801 is an apocalyptic number.

It is an amenable number.

76927131801 is a deficient number, since it is larger than the sum of its proper divisors (45665145747).

76927131801 is a wasteful number, since it uses less digits than its factorization.

76927131801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954362 (or 954346 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 76927131801 in words is "seventy-six billion, nine hundred twenty-seven million, one hundred thirty-one thousand, eight hundred one".