76385280 has 88 divisors (see below), whose sum is σ = 244362672. Its totient is φ = 20365312.

The previous prime is 76385171. The next prime is 76385291. The reversal of 76385280 is 8258367.

It is a super-2 number, since 2×76385280² = 11669422001356800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12874 + ... + 17846.

Almost surely, 2^76385280 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 76385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122181336).

76385280 is an abundant number, since it is smaller than the sum of its proper divisors (167977392).

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

76385280 is a wasteful number, since it uses less digits than its factorization.

76385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 76385280 is about 8739.8672758801. The cubic root of 76385280 is about 424.2969321512.

The spelling of 76385280 in words is "seventy-six million, three hundred eighty-five thousand, two hundred eighty".