75978882 has 96 divisors (see below), whose sum is σ = 202176000. Its totient is φ = 20127744.

The previous prime is 75978857. The next prime is 75978883. The reversal of 75978882 is 28887957.

Its product of digits (2257920) is a multiple of the sum of its prime factors (560).

It is not an unprimeable number, because it can be changed into a prime (75978883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168994 + ... + 169442.

It is an arithmetic number, because the mean of its divisors is an integer number (2106000).

Almost surely, 2^75978882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75978882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088000).

75978882 is an abundant number, since it is smaller than the sum of its proper divisors (126197118).

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

75978882 is a wasteful number, since it uses less digits than its factorization.

75978882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The square root of 75978882 is about 8716.5866025641. The cubic root of 75978882 is about 423.5431214040.

The spelling of 75978882 in words is "seventy-five million, nine hundred seventy-eight thousand, eight hundred eighty-two".