7676116767 has 32 divisors (see below), whose sum is σ = 12545280000. Its totient is φ = 4599904320.

The previous prime is 7676116729. The next prime is 7676116813.

7676116767 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7676116767 - 2³⁰ = 6602374943 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7676116667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118767 + ... + 171632.

It is an arithmetic number, because the mean of its divisors is an integer number (392040000).

Almost surely, 2^7676116767 is an apocalyptic number.

7676116767 is a deficient number, since it is larger than the sum of its proper divisors (4869163233).

7676116767 is a wasteful number, since it uses less digits than its factorization.

7676116767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290508 (or 290502 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 7676116767 is about 87613.4508337618. The cubic root of 7676116767 is about 1972.6370729824.

It can be divided in two parts, 76761 and 16767, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 7676116767 in words is "seven billion, six hundred seventy-six million, one hundred sixteen thousand, seven hundred sixty-seven".