25807680 has 224 divisors, whose sum is σ = 95097600. Its totient is φ = 6580224.

The previous prime is 25807673. The next prime is 25807687. The reversal of 25807680 is 8670852.

25807680 is a `hidden beast` number, since 2 + 580 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25807673) and next prime (25807687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25807687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250509 + ... + 250611.

Almost surely, 2^25807680 is an apocalyptic number.

25807680 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 25807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47548800).

25807680 is an abundant number, since it is smaller than the sum of its proper divisors (69289920).

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

25807680 is a wasteful number, since it uses less digits than its factorization.

25807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 25807680 is about 5080.1259826898. The cubic root of 25807680 is about 295.5173532029.

The spelling of 25807680 in words is "twenty-five million, eight hundred seven thousand, six hundred eighty".