76824480 has 96 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 19776512.

The previous prime is 76824413. The next prime is 76824481. The reversal of 76824480 is 8442867.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (76824481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11161 + ... + 16679.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 2^76824480 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 76824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

76824480 is an abundant number, since it is smaller than the sum of its proper divisors (173562720).

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

76824480 is a wasteful number, since it uses less digits than its factorization.

76824480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 76824480 is about 8764.9575013231. The cubic root of 76824480 is about 425.1085858645.

The spelling of 76824480 in words is "seventy-six million, eight hundred twenty-four thousand, four hundred eighty".