75882560 has 224 divisors, whose sum is σ = 218907360. Its totient is φ = 24772608.

The previous prime is 75882559. The next prime is 75882607. The reversal of 75882560 is 6528857.

It can be written as a sum of positive squares in 16 ways, for example, as 5456896 + 70425664 = 2336^2 + 8392^2 .

It is a congruent number.

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, 2050862 + ... + 2050898.

It is an arithmetic number, because the mean of its divisors is an integer number (977265).

Almost surely, 2^75882560 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 75882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453680).

75882560 is an abundant number, since it is smaller than the sum of its proper divisors (143024800).

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

75882560 is a wasteful number, since it uses less digits than its factorization.

75882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 75882560 is about 8711.0596370361. The cubic root of 75882560 is about 423.3640638751.

The spelling of 75882560 in words is "seventy-five million, eight hundred eighty-two thousand, five hundred sixty".