25812800 has 168 divisors, whose sum is σ = 73417176. Its totient is φ = 8847360.

The previous prime is 25812793. The next prime is 25812859. The reversal of 25812800 is 821852.

It can be written as a sum of positive squares in 12 ways, for example, as 7011904 + 18800896 = 2648^2 + 4336^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 25812800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353564 + ... + 353636.

It is an arithmetic number, because the mean of its divisors is an integer number (437007).

Almost surely, 2^25812800 is an apocalyptic number.

25812800 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 25812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36708588).

25812800 is an abundant number, since it is smaller than the sum of its proper divisors (47604376).

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

25812800 is a wasteful number, since it uses less digits than its factorization.

25812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 25812800 is about 5080.6298822095. The cubic root of 25812800 is about 295.5368945281.

The spelling of 25812800 in words is "twenty-five million, eight hundred twelve thousand, eight hundred".