76288560 has 160 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 19267584.

The previous prime is 76288543. The next prime is 76288637. The reversal of 76288560 is 6588267.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675064 + ... + 675176.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 2^76288560 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 76288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

76288560 is an abundant number, since it is smaller than the sum of its proper divisors (173070480).

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

76288560 is a wasteful number, since it uses less digits than its factorization.

76288560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 76288560 is about 8734.3322583927. The cubic root of 76288560 is about 424.1177731456.

The spelling of 76288560 in words is "seventy-six million, two hundred eighty-eight thousand, five hundred sixty".