76082880 has 112 divisors (see below), whose sum is σ = 247582944. Its totient is φ = 19783680.

The previous prime is 76082833. The next prime is 76082893. The reversal of 76082880 is 8828067.

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 15 ways as a sum of consecutive naturals, for example, 38394 + ... + 40326.

It is an arithmetic number, because the mean of its divisors is an integer number (2210562).

Almost surely, 2^76082880 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 76082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123791472).

76082880 is an abundant number, since it is smaller than the sum of its proper divisors (171500064).

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

76082880 is a wasteful number, since it uses less digits than its factorization.

76082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 76082880 is about 8722.5500858407. The cubic root of 76082880 is about 423.7362783907.

The spelling of 76082880 in words is "seventy-six million, eighty-two thousand, eight hundred eighty".