75898560 has 112 divisors (see below), whose sum is σ = 242901216. Its totient is φ = 20078592.

The previous prime is 75898547. The next prime is 75898621. The reversal of 75898560 is 6589857.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165852 + ... + 166308.

Almost surely, 2^75898560 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 75898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121450608).

75898560 is an abundant number, since it is smaller than the sum of its proper divisors (167002656).

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

75898560 is a wasteful number, since it uses less digits than its factorization.

75898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 75898560 is about 8711.9779614046. The cubic root of 75898560 is about 423.3938175233.

The spelling of 75898560 in words is "seventy-five million, eight hundred ninety-eight thousand, five hundred sixty".