25278760 has 64 divisors (see below), whose sum is σ = 61825680. Its totient is φ = 9246720.

The previous prime is 25278751. The next prime is 25278763. The reversal of 25278760 is 6787252.

It can be written as a sum of positive squares in 8 ways, for example, as 14243076 + 11035684 = 3774^2 + 3322^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25278763) 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, 89820 + ... + 90100.

Almost surely, 2^25278760 is an apocalyptic number.

25278760 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 25278760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30912840).

25278760 is an abundant number, since it is smaller than the sum of its proper divisors (36546920).

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

25278760 is a wasteful number, since it uses less digits than its factorization.

25278760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 25278760 is about 5027.7987230994. The cubic root of 25278760 is about 293.4845581583.

The spelling of 25278760 in words is "twenty-five million, two hundred seventy-eight thousand, seven hundred sixty".