76733680 has 40 divisors (see below), whose sum is σ = 184166784. Its totient is φ = 29702400.

The previous prime is 76733663. The next prime is 76733719. The reversal of 76733680 is 8633767.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12991 + ... + 17950.

Almost surely, 2^76733680 is an apocalyptic number.

It is an amenable number.

76733680 is an abundant number, since it is smaller than the sum of its proper divisors (107433104).

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

76733680 is a wasteful number, since it uses less digits than its factorization.

76733680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30985 (or 30979 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 76733680 is about 8759.7762528503. The cubic root of 76733680 is about 424.9410391101.

The spelling of 76733680 in words is "seventy-six million, seven hundred thirty-three thousand, six hundred eighty".