75485880 has 96 divisors (see below), whose sum is σ = 246402000. Its totient is φ = 20041728.

The previous prime is 75485867. The next prime is 75485909. The reversal of 75485880 is 8858457.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161407 + ... + 161873.

Almost surely, 2^75485880 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 75485880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123201000).

75485880 is an abundant number, since it is smaller than the sum of its proper divisors (170916120).

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

75485880 is a wasteful number, since it uses less digits than its factorization.

75485880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 75485880 is about 8688.2610458020. The cubic root of 75485880 is about 422.6250554734.

The spelling of 75485880 in words is "seventy-five million, four hundred eighty-five thousand, eight hundred eighty".