75580 has 12 divisors (see below), whose sum is σ = 158760. Its totient is φ = 30224.

The previous prime is 75577. The next prime is 75583. The reversal of 75580 is 8557.

It is an interprime number because it is at equal distance from previous prime (75577) and next prime (75583).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75583) 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, 1870 + ... + 1909.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2⁷⁵⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

75580 is an abundant number, since it is smaller than the sum of its proper divisors (83180).

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 (79380).

75580 is a wasteful number, since it uses less digits than its factorization.

75580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 75580 is about 274.9181696433. The cubic root of 75580 is about 42.2800633340.

It can be divided in two parts, 7 and 5580, that multiplied together give a triangular number (39060 = T₂₇₉).

The spelling of 75580 in words is "seventy-five thousand, five hundred eighty".