76920080 has 40 divisors (see below), whose sum is σ = 179285400. Its totient is φ = 30691328.

The previous prime is 76920079. The next prime is 76920131. The reversal of 76920080 is 8002967.

It can be written as a sum of positive squares in 4 ways, for example, as 16516096 + 60403984 = 4064^2 + 7772^2 .

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

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, 39776 + ... + 41664.

It is an arithmetic number, because the mean of its divisors is an integer number (4482135).

Almost surely, 2^76920080 is an apocalyptic number.

It is an amenable number.

76920080 is an abundant number, since it is smaller than the sum of its proper divisors (102365320).

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

76920080 is a wasteful number, since it uses less digits than its factorization.

76920080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 76920080 is about 8770.4093405040. The cubic root of 76920080 is about 425.2848471070.

The spelling of 76920080 in words is "seventy-six million, nine hundred twenty thousand, eighty".