76088080 has 20 divisors (see below), whose sum is σ = 176904972. Its totient is φ = 30435200.

The previous prime is 76088069. The next prime is 76088093. The reversal of 76088080 is 8088067.

It can be written as a sum of positive squares in 2 ways, for example, as 54110736 + 21977344 = 7356^2 + 4688^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 475471 + ... + 475630.

Almost surely, 2^76088080 is an apocalyptic number.

It is an amenable number.

76088080 is an abundant number, since it is smaller than the sum of its proper divisors (100816892).

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

76088080 is a wasteful number, since it uses less digits than its factorization.

76088080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951114 (or 951108 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 76088080 is about 8722.8481587151. The cubic root of 76088080 is about 423.7459318040.

The spelling of 76088080 in words is "seventy-six million, eighty-eight thousand, eighty".