77131312436727 has 24 divisors (see below), whose sum is σ = 115176316535280. Its totient is φ = 49706462229120.

The previous prime is 77131312436693. The next prime is 77131312436741. The reversal of 77131312436727 is 72763421313177.

77131312436727 is a `hidden beast` number, since 7 + 7 + 1 + 3 + 131 + 2 + 436 + 72 + 7 = 666.

It is not a de Polignac number, because 77131312436727 - 2³⁶ = 77062592959991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77131312436627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958803573 + ... + 958884014.

It is an arithmetic number, because the mean of its divisors is an integer number (4799013188970).

Almost surely, 2^{77131312436727} is an apocalyptic number.

77131312436727 is a deficient number, since it is larger than the sum of its proper divisors (38045004098553).

77131312436727 is a wasteful number, since it uses less digits than its factorization.

77131312436727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917687743 (or 1917687740 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The spelling of 77131312436727 in words is "seventy-seven trillion, one hundred thirty-one billion, three hundred twelve million, four hundred thirty-six thousand, seven hundred twenty-seven".