25920800 has 36 divisors (see below), whose sum is σ = 63281106. Its totient is φ = 10368000.

The previous prime is 25920779. The next prime is 25920803. The reversal of 25920800 is 802952.

It can be written as a sum of positive squares in 3 ways, for example, as 25361296 + 559504 = 5036^2 + 748^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25920800.

It is not an unprimeable number, because it can be changed into a prime (25920803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15401 + ... + 17000.

Almost surely, 2^25920800 is an apocalyptic number.

25920800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25920800 is an abundant number, since it is smaller than the sum of its proper divisors (37360306).

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

25920800 is a wasteful number, since it uses less digits than its factorization.

25920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32421 (or 32408 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 25920800 is about 5091.2473913571. The cubic root of 25920800 is about 295.9484935946.

The spelling of 25920800 in words is "twenty-five million, nine hundred twenty thousand, eight hundred".