25280760 has 64 divisors (see below), whose sum is σ = 76308480. Its totient is φ = 6700160.

The previous prime is 25280753. The next prime is 25280767. The reversal of 25280760 is 6708252.

It is an interprime number because it is at equal distance from previous prime (25280753) and next prime (25280767).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25280767) 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, 22369 + ... + 23471.

It is an arithmetic number, because the mean of its divisors is an integer number (1192320).

Almost surely, 2^25280760 is an apocalyptic number.

25280760 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 25280760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38154240).

25280760 is an abundant number, since it is smaller than the sum of its proper divisors (51027720).

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

25280760 is a wasteful number, since it uses less digits than its factorization.

25280760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 25280760 is about 5027.9976133646. The cubic root of 25280760 is about 293.4922979056.

The spelling of 25280760 in words is "twenty-five million, two hundred eighty thousand, seven hundred sixty".