76994880 has 112 divisors (see below), whose sum is σ = 246644160. Its totient is φ = 20348928.

The previous prime is 76994851. The next prime is 76994927. The reversal of 76994880 is 8849967.

It is a happy number.

It is a congruent number.

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, 133152 + ... + 133728.

It is an arithmetic number, because the mean of its divisors is an integer number (2202180).

Almost surely, 2^76994880 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 76994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123322080).

76994880 is an abundant number, since it is smaller than the sum of its proper divisors (169649280).

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

76994880 is a wasteful number, since it uses less digits than its factorization.

76994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 76994880 is about 8774.6726434665. The cubic root of 76994880 is about 425.4226568121.

The spelling of 76994880 in words is "seventy-six million, nine hundred ninety-four thousand, eight hundred eighty".