25793280 has 108 divisors (see below), whose sum is σ = 89281920. Its totient is φ = 6875136.

The previous prime is 25793269. The next prime is 25793321. The reversal of 25793280 is 8239752.

It is a happy number.

25793280 is a `hidden beast` number, since 2 + 579 + 3 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10401 + ... + 12639.

Almost surely, 2^25793280 is an apocalyptic number.

25793280 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 25793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640960).

25793280 is an abundant number, since it is smaller than the sum of its proper divisors (63488640).

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

25793280 is a wasteful number, since it uses less digits than its factorization.

25793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 25793280 is about 5078.7084972461. The cubic root of 25793280 is about 295.4623793655.

The spelling of 25793280 in words is "twenty-five million, seven hundred ninety-three thousand, two hundred eighty".