76788688767 has 16 divisors (see below), whose sum is σ = 117020052480. Its totient is φ = 43875981792.

The previous prime is 76788688763. The next prime is 76788688861.

76788688767 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76788688767 - 2² = 76788688763 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76788688692 and 76788688701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76788688763) 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, 168213 + ... + 426465.

It is an arithmetic number, because the mean of its divisors is an integer number (7313753280).

Almost surely, 2^76788688767 is an apocalyptic number.

76788688767 is a deficient number, since it is larger than the sum of its proper divisors (40231363713).

76788688767 is a wasteful number, since it uses less digits than its factorization.

76788688767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272422.

The product of its digits is 2124251136, while the sum is 78.

The spelling of 76788688767 in words is "seventy-six billion, seven hundred eighty-eight million, six hundred eighty-eight thousand, seven hundred sixty-seven".