76080384 has 108 divisors (see below), whose sum is σ = 227668896. Its totient is φ = 25339392.

The previous prime is 76080349. The next prime is 76080391. The reversal of 76080384 is 48308067.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61597 + ... + 62819.

Almost surely, 2^76080384 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 76080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113834448).

76080384 is an abundant number, since it is smaller than the sum of its proper divisors (151588512).

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

76080384 is an equidigital number, since it uses as much as digits as its factorization.

76080384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76080384 is about 8722.4070072429. The cubic root of 76080384 is about 423.7316445961.

The spelling of 76080384 in words is "seventy-six million, eighty thousand, three hundred eighty-four".