75080 has 16 divisors (see below), whose sum is σ = 169020. Its totient is φ = 30016.

The previous prime is 75079. The next prime is 75083. The reversal of 75080 is 8057.

It can be written as a sum of positive squares in 2 ways, for example, as 75076 + 4 = 274^2 + 2^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (75083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 899 + ... + 978.

2⁷⁵⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

75080 is an abundant number, since it is smaller than the sum of its proper divisors (93940).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84510).

75080 is a wasteful number, since it uses less digits than its factorization.

75080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 75080 is about 274.0072991729. The cubic root of 75080 is about 42.1866222954.

The spelling of 75080 in words is "seventy-five thousand, eighty".