76309164 has 18 divisors (see below), whose sum is σ = 192892700. Its totient is φ = 25436376.

The previous prime is 76309157. The next prime is 76309229. The reversal of 76309164 is 46190367.

76309164 is a `hidden beast` number, since 7 + 630 + 9 + 16 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×76309164³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2119699 = 76309164 / (7 + 6 + 3 + 0 + 9 + 1 + 6 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1059814 + ... + 1059885.

Almost surely, 2^76309164 is an apocalyptic number.

It is an amenable number.

76309164 is an abundant number, since it is smaller than the sum of its proper divisors (116583536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76309164 is a wasteful number, since it uses less digits than its factorization.

76309164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119709 (or 2119704 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 76309164 is about 8735.5116621753. The cubic root of 76309164 is about 424.1559515917.

The spelling of 76309164 in words is "seventy-six million, three hundred nine thousand, one hundred sixty-four".