5880 has 48 divisors (see below), whose sum is σ = 20520. Its totient is φ = 1344.

The previous prime is 5879. The next prime is 5881. The reversal of 5880 is 885.

It is an interprime number because it is at equal distance from previous prime (5879) and next prime (5881).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a zygodrome in base 11 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 837 + ... + 843.

2⁵⁸⁸⁰ 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 5880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260).

5880 is an abundant number, since it is smaller than the sum of its proper divisors (14640).

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

5880 is a wasteful number, since it uses less digits than its factorization.

5880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 5880 is about 76.6811580507. The cubic root of 5880 is about 18.0492478515.

The spelling of 5880 in words is "five thousand, eight hundred eighty".