25720800 has 144 divisors (see below), whose sum is σ = 95743872. Its totient is φ = 5875200.

The previous prime is 25720789. The next prime is 25720801. The reversal of 25720800 is 802752.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25720801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16035 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (664888).

Almost surely, 2^25720800 is an apocalyptic number.

25720800 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 25720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47871936).

25720800 is an abundant number, since it is smaller than the sum of its proper divisors (70023072).

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

25720800 is a wasteful number, since it uses less digits than its factorization.

25720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 25720800 is about 5071.5678049298. The cubic root of 25720800 is about 295.1853665971.

The spelling of 25720800 in words is "twenty-five million, seven hundred twenty thousand, eight hundred".