25882880 has 72 divisors (see below), whose sum is σ = 63073752. Its totient is φ = 10174464.

The previous prime is 25882873. The next prime is 25882903. The reversal of 25882880 is 8828852.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 25080064 = 896^2 + 5008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93302 + ... + 93578.

Almost surely, 2^25882880 is an apocalyptic number.

25882880 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 25882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31536876).

25882880 is an abundant number, since it is smaller than the sum of its proper divisors (37190872).

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

25882880 is an equidigital number, since it uses as much as digits as its factorization.

25882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The square root of 25882880 is about 5087.5219901245. The cubic root of 25882880 is about 295.8041070557.

It can be divided in two parts, 25882 and 880, that added together give a palindrome (26762).

The spelling of 25882880 in words is "twenty-five million, eight hundred eighty-two thousand, eight hundred eighty".