75900 has 72 divisors (see below), whose sum is σ = 249984. Its totient is φ = 17600.

The previous prime is 75883. The next prime is 75913. The reversal of 75900 is 957.

It is a congruent number.

It is an unprimeable number.

75900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3289 + ... + 3311.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

2⁷⁵⁹⁰⁰ is an apocalyptic number.

It is a pronic number, being equal to 275×276.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

75900 is an abundant number, since it is smaller than the sum of its proper divisors (174084).

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

75900 is a wasteful number, since it uses less digits than its factorization.

75900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 75900 is about 275.4995462791. The cubic root of 75900 is about 42.3396495147.

The spelling of 75900 in words is "seventy-five thousand, nine hundred".