76966967 has 16 divisors (see below), whose sum is σ = 101011200. Its totient is φ = 56816640.

The previous prime is 76966961. The next prime is 76966997.

It is a happy number.

76966967 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 76966967 - 2¹⁰ = 76965943 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 (76966961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24842 + ... + 27767.

It is an arithmetic number, because the mean of its divisors is an integer number (6313200).

Almost surely, 2^76966967 is an apocalyptic number.

76966967 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

76966967 is a deficient number, since it is larger than the sum of its proper divisors (24044233).

76966967 is a wasteful number, since it uses less digits than its factorization.

76966967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52646.

The product of its digits is 5143824, while the sum is 56.

The square root of 76966967 is about 8773.0819556186. The cubic root of 76966967 is about 425.3712410214.

The spelling of 76966967 in words is "seventy-six million, nine hundred sixty-six thousand, nine hundred sixty-seven".