76688667 has 16 divisors (see below), whose sum is σ = 123941760. Its totient is φ = 46477800.

The previous prime is 76688641. The next prime is 76688701.

76688667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76688667 - 2¹⁹ = 76164379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76688167) 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, 128809 + ... + 129402.

It is an arithmetic number, because the mean of its divisors is an integer number (7746360).

Almost surely, 2^76688667 is an apocalyptic number.

76688667 is a deficient number, since it is larger than the sum of its proper divisors (47253093).

76688667 is a wasteful number, since it uses less digits than its factorization.

76688667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258231 (or 258225 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 76688667 is about 8757.2065751585. The cubic root of 76688667 is about 424.8579308304.

The spelling of 76688667 in words is "seventy-six million, six hundred eighty-eight thousand, six hundred sixty-seven".