76967876967 has 64 divisors (see below), whose sum is σ = 116349312000. Its totient is φ = 45038343168.

The previous prime is 76967876903. The next prime is 76967876981.

It is a happy number.

76967876967 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76967876967 - 2⁶ = 76967876903 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 76967876892 and 76967876901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76967876467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4456134 + ... + 4473372.

It is an arithmetic number, because the mean of its divisors is an integer number (1817958000).

Almost surely, 2^76967876967 is an apocalyptic number.

76967876967 is a deficient number, since it is larger than the sum of its proper divisors (39381435033).

76967876967 is a wasteful number, since it uses less digits than its factorization.

76967876967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17400.

The product of its digits is 2016379008, while the sum is 78.

The spelling of 76967876967 in words is "seventy-six billion, nine hundred sixty-seven million, eight hundred seventy-six thousand, nine hundred sixty-seven".