25788000 has 192 divisors, whose sum is σ = 96864768. Its totient is φ = 5875200.

The previous prime is 25787969. The next prime is 25788011. The reversal of 25788000 is 88752.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83847 + ... + 84153.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 2^25788000 is an apocalyptic number.

25788000 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 25788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432384).

25788000 is an abundant number, since it is smaller than the sum of its proper divisors (71076768).

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

25788000 is a wasteful number, since it uses less digits than its factorization.

25788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 25788000 is about 5078.1886534472. The cubic root of 25788000 is about 295.4422171653.

The spelling of 25788000 in words is "twenty-five million, seven hundred eighty-eight thousand".