25780560 has 80 divisors (see below), whose sum is σ = 86077824. Its totient is φ = 6345216.

The previous prime is 25780529. The next prime is 25780567. The reversal of 25780560 is 6508752.

It is a happy number.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25780567) 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, 1012 + ... + 7251.

Almost surely, 2^25780560 is an apocalyptic number.

25780560 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 25780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43038912).

25780560 is an abundant number, since it is smaller than the sum of its proper divisors (60297264).

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

25780560 is a wasteful number, since it uses less digits than its factorization.

25780560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 25780560 is about 5077.4560559398. The cubic root of 25780560 is about 295.4138021207.

The spelling of 25780560 in words is "twenty-five million, seven hundred eighty thousand, five hundred sixty".