25776000 has 192 divisors, whose sum is σ = 93085200. Its totient is φ = 6835200.

The previous prime is 25775999. The next prime is 25776017. The reversal of 25776000 is 67752.

25776000 is a `hidden beast` number, since 2 + 57 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 143911 + ... + 144089.

Almost surely, 2^25776000 is an apocalyptic number.

25776000 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 25776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46542600).

25776000 is an abundant number, since it is smaller than the sum of its proper divisors (67309200).

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

25776000 is a wasteful number, since it uses less digits than its factorization.

25776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 25776000 is about 5077.0069923135. The cubic root of 25776000 is about 295.3963837459.

The spelling of 25776000 in words is "twenty-five million, seven hundred seventy-six thousand".