25792000 has 160 divisors (see below), whose sum is σ = 71495424. Its totient is φ = 9216000.

The previous prime is 25791977. The next prime is 25792003. The reversal of 25792000 is 29752.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25792003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831985 + ... + 832015.

Almost surely, 2^25792000 is an apocalyptic number.

25792000 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 25792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747712).

25792000 is an abundant number, since it is smaller than the sum of its proper divisors (45703424).

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

25792000 is an equidigital number, since it uses as much as digits as its factorization.

25792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 25792000 is about 5078.5824793932. The cubic root of 25792000 is about 295.4574918121.

The spelling of 25792000 in words is "twenty-five million, seven hundred ninety-two thousand".