25878 has 16 divisors (see below), whose sum is σ = 54720. Its totient is φ = 8136.

The previous prime is 25873. The next prime is 25889. The reversal of 25878 is 87852.

25878 is nontrivially palindromic in base 8.

25878 is a nontrivial binomial coefficient, being equal to C(228, 2).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25878.

It is not an unprimeable number, because it can be changed into a prime (25873) by changing a digit.

25878 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2²⁵⁸⁷⁸ is an apocalyptic number.

25878 is the 227-th triangular number and also the 114-th hexagonal number.

25878 is an abundant number, since it is smaller than the sum of its proper divisors (28842).

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 (27360).

25878 is a wasteful number, since it uses less digits than its factorization.

25878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 4480, while the sum is 30.

The square root of 25878 is about 160.8664041993. The cubic root of 25878 is about 29.5785515426.

It can be divided in two parts, 25 and 878, that added together give a triangular number (903 = T₄₂).

The spelling of 25878 in words is "twenty-five thousand, eight hundred seventy-eight".