75768864 has 72 divisors (see below), whose sum is σ = 211358448. Its totient is φ = 23761920.

The previous prime is 75768839. The next prime is 75768871. The reversal of 75768864 is 46886757.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 26379 + ... + 29109.

It is an arithmetic number, because the mean of its divisors is an integer number (2935534).

Almost surely, 2^75768864 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 75768864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105679224).

75768864 is an abundant number, since it is smaller than the sum of its proper divisors (135589584).

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

75768864 is a wasteful number, since it uses less digits than its factorization.

75768864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2753 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 75768864 is about 8704.5312337885. The cubic root of 75768864 is about 423.1525139001.

The spelling of 75768864 in words is "seventy-five million, seven hundred sixty-eight thousand, eight hundred sixty-four".