76965656967 has 24 divisors (see below), whose sum is σ = 114221723616. Its totient is φ = 49904237376.

The previous prime is 76965656921. The next prime is 76965656987.

It is a happy number.

76965656967 is a `hidden beast` number, since 7 + 6 + 9 + 6 + 56 + 569 + 6 + 7 = 666.

76965656967 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76965656967 - 2⁶ = 76965656903 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 = 76965656895 and 76965656904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76965656987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837793 + ... + 925109.

It is an arithmetic number, because the mean of its divisors is an integer number (4759238484).

Almost surely, 2^76965656967 is an apocalyptic number.

76965656967 is a deficient number, since it is larger than the sum of its proper divisors (37256066649).

76965656967 is a wasteful number, since it uses less digits than its factorization.

76965656967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90007 (or 90004 counting only the distinct ones).

The product of its digits is 771573600, while the sum is 72.

The spelling of 76965656967 in words is "seventy-six billion, nine hundred sixty-five million, six hundred fifty-six thousand, nine hundred sixty-seven".