76686788768667 has 96 divisors (see below), whose sum is σ = 131409068774400. Its totient is φ = 39329779507200.

The previous prime is 76686788768651. The next prime is 76686788768671.

76686788768667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76686788768667 - 2⁴ = 76686788768651 is a prime.

It is a super-2 number, since 2×76686788768667² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76686788768677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2710820059 + ... + 2710848347.

It is an arithmetic number, because the mean of its divisors is an integer number (1368844466400).

Almost surely, 2^{76686788768667} is an apocalyptic number.

76686788768667 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

76686788768667 is a deficient number, since it is larger than the sum of its proper divisors (54722280005733).

76686788768667 is a wasteful number, since it uses less digits than its factorization.

76686788768667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49617 (or 49610 counting only the distinct ones).

The product of its digits is 458838245376, while the sum is 96.

The spelling of 76686788768667 in words is "seventy-six trillion, six hundred eighty-six billion, seven hundred eighty-eight million, seven hundred sixty-eight thousand, six hundred sixty-seven".