75634680 has 96 divisors (see below), whose sum is σ = 249454800. Its totient is φ = 18332160.

The previous prime is 75634661. The next prime is 75634681. The reversal of 75634680 is 8643657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75634681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11916 + ... + 17124.

Almost surely, 2^75634680 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 75634680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124727400).

75634680 is an abundant number, since it is smaller than the sum of its proper divisors (173820120).

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

75634680 is a wasteful number, since it uses less digits than its factorization.

75634680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 75634680 is about 8696.8201085224. The cubic root of 75634680 is about 422.9025702092.

The spelling of 75634680 in words is "seventy-five million, six hundred thirty-four thousand, six hundred eighty".