76924880 has 80 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 29061120.

The previous prime is 76924877. The next prime is 76924891. The reversal of 76924880 is 8842967.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178265 + ... + 178695.

Almost surely, 2^76924880 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 76924880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

76924880 is an abundant number, since it is smaller than the sum of its proper divisors (112063024).

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

76924880 is a wasteful number, since it uses less digits than its factorization.

76924880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 76924880 is about 8770.6829836678. The cubic root of 76924880 is about 425.2936931925.

The spelling of 76924880 in words is "seventy-six million, nine hundred twenty-four thousand, eight hundred eighty".