25782000 has 80 divisors (see below), whose sum is σ = 83140512. Its totient is φ = 6873600.

The previous prime is 25781999. The next prime is 25782019. The reversal of 25782000 is 28752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3852 + ... + 8148.

Almost surely, 2^25782000 is an apocalyptic number.

25782000 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 25782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41570256).

25782000 is an abundant number, since it is smaller than the sum of its proper divisors (57358512).

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

25782000 is a wasteful number, since it uses less digits than its factorization.

25782000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 25782000 is about 5077.5978572549. The cubic root of 25782000 is about 295.4193022333.

The spelling of 25782000 in words is "twenty-five million, seven hundred eighty-two thousand".