25785800 has 48 divisors (see below), whose sum is σ = 61900800. Its totient is φ = 9979200.

The previous prime is 25785797. The next prime is 25785811. The reversal of 25785800 is 858752.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4121 + ... + 8279.

It is an arithmetic number, because the mean of its divisors is an integer number (1289600).

Almost surely, 2^25785800 is an apocalyptic number.

25785800 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 25785800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30950400).

25785800 is an abundant number, since it is smaller than the sum of its proper divisors (36115000).

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

25785800 is a wasteful number, since it uses less digits than its factorization.

25785800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 25785800 is about 5077.9720361577. The cubic root of 25785800 is about 295.4338154364.

The spelling of 25785800 in words is "twenty-five million, seven hundred eighty-five thousand, eight hundred".