76579880 has 128 divisors (see below), whose sum is σ = 204422400. Its totient is φ = 25546752.

The previous prime is 76579879. The next prime is 76579907. The reversal of 76579880 is 8897567.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 227072 + ... + 227408.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^76579880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76579880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102211200).

76579880 is an abundant number, since it is smaller than the sum of its proper divisors (127842520).

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

76579880 is a wasteful number, since it uses less digits than its factorization.

76579880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The square root of 76579880 is about 8750.9930865017. The cubic root of 76579880 is about 424.6569411514.

The spelling of 76579880 in words is "seventy-six million, five hundred seventy-nine thousand, eight hundred eighty".