76964080 has 20 divisors (see below), whose sum is σ = 178941672. Its totient is φ = 30785600.

The previous prime is 76964053. The next prime is 76964087. The reversal of 76964080 is 8046967.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×76964080² = 11846939220492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76964087) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 480946 + ... + 481105.

Almost surely, 2^76964080 is an apocalyptic number.

It is an amenable number.

76964080 is an abundant number, since it is smaller than the sum of its proper divisors (101977592).

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

76964080 is a wasteful number, since it uses less digits than its factorization.

76964080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962064 (or 962058 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 76964080 is about 8772.9174166864. The cubic root of 76964080 is about 425.3659224535.

The spelling of 76964080 in words is "seventy-six million, nine hundred sixty-four thousand, eighty".