25080 has 64 divisors (see below), whose sum is σ = 86400. Its totient is φ = 5760.

The previous prime is 25073. The next prime is 25087. The reversal of 25080 is 8052.

25080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (25073) and next prime (25087).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2²⁵⁰⁸⁰ is an apocalyptic number.

25080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

25080 is an abundant number, since it is smaller than the sum of its proper divisors (61320).

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

25080 is a wasteful number, since it uses less digits than its factorization.

25080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 25080 is about 158.3666631586. The cubic root of 25080 is about 29.2713336949.

The spelling of 25080 in words is "twenty-five thousand, eighty".