25766400 has 240 divisors, whose sum is σ = 94377888. Its totient is φ = 6144000.

The previous prime is 25766353. The next prime is 25766431. The reversal of 25766400 is 466752.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 422370 + ... + 422430.

Almost surely, 2^25766400 is an apocalyptic number.

25766400 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 25766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47188944).

25766400 is an abundant number, since it is smaller than the sum of its proper divisors (68611488).

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

25766400 is a wasteful number, since it uses less digits than its factorization.

25766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 25766400 is about 5076.0614653489. The cubic root of 25766400 is about 295.3597067671.

The spelling of 25766400 in words is "twenty-five million, seven hundred sixty-six thousand, four hundred".