25760000 has 180 divisors, whose sum is σ = 76625472. Its totient is φ = 8448000.

The previous prime is 25759997. The next prime is 25760003. The reversal of 25760000 is 6752.

It is an interprime number because it is at equal distance from previous prime (25759997) and next prime (25760003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25760003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1119989 + ... + 1120011.

Almost surely, 2^25760000 is an apocalyptic number.

25760000 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 25760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38312736).

25760000 is an abundant number, since it is smaller than the sum of its proper divisors (50865472).

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

25760000 is an frugal number, since it uses more digits than its factorization.

25760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 25760000 is about 5075.4310161798. The cubic root of 25760000 is about 295.3352503866.

Adding to 25760000 its reverse (6752), we get a palindrome (25766752).

The spelling of 25760000 in words is "twenty-five million, seven hundred sixty thousand".