76642080 has 48 divisors (see below), whose sum is σ = 241424064. Its totient is φ = 20437760.

The previous prime is 76642063. The next prime is 76642091. The reversal of 76642080 is 8024667.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 79356 + ... + 80315.

It is an arithmetic number, because the mean of its divisors is an integer number (5029668).

Almost surely, 2^76642080 is an apocalyptic number.

It is an amenable number.

76642080 is an abundant number, since it is smaller than the sum of its proper divisors (164781984).

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

76642080 is a wasteful number, since it uses less digits than its factorization.

76642080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159689 (or 159681 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 76642080 is about 8754.5462475219. The cubic root of 76642080 is about 424.7718821938.

The spelling of 76642080 in words is "seventy-six million, six hundred forty-two thousand, eighty".