76893639867 has 72 divisors (see below), whose sum is σ = 127549159920. Its totient is φ = 44547888000.

The previous prime is 76893639841. The next prime is 76893639887.

76893639867 is a `hidden beast` number, since 76 + 89 + 36 + 398 + 67 = 666.

76893639867 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76893639867 - 2¹⁸ = 76893377723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76893639795 and 76893639804.

It is not an unprimeable number, because it can be changed into a prime (76893639817) 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 71 ways as a sum of consecutive naturals, for example, 3177628 + ... + 3201734.

It is an arithmetic number, because the mean of its divisors is an integer number (1771516110).

Almost surely, 2^76893639867 is an apocalyptic number.

76893639867 is a deficient number, since it is larger than the sum of its proper divisors (50655520053).

76893639867 is a wasteful number, since it uses less digits than its factorization.

76893639867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24265 (or 24251 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 76893639867 in words is "seventy-six billion, eight hundred ninety-three million, six hundred thirty-nine thousand, eight hundred sixty-seven".