76788655688767 has 16 divisors (see below), whose sum is σ = 86661826116480. Its totient is φ = 67397759301600.

The previous prime is 76788655688761. The next prime is 76788655688777.

76788655688767 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 76788655688767 - 2³⁵ = 76754295950399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76788655688761) 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 15 ways as a sum of consecutive naturals, for example, 2083792 + ... + 12566602.

It is an arithmetic number, because the mean of its divisors is an integer number (5416364132280).

Almost surely, 2^{76788655688767} is an apocalyptic number.

76788655688767 is a deficient number, since it is larger than the sum of its proper divisors (9873170427713).

76788655688767 is a wasteful number, since it uses less digits than its factorization.

76788655688767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505814.

The product of its digits is 318637670400, while the sum is 94.

The spelling of 76788655688767 in words is "seventy-six trillion, seven hundred eighty-eight billion, six hundred fifty-five million, six hundred eighty-eight thousand, seven hundred sixty-seven".