25785760 has 288 divisors, whose sum is σ = 86873472. Its totient is φ = 7096320.

The previous prime is 25785733. The next prime is 25785779. The reversal of 25785760 is 6758752.

It is a Smith number, since the sum of its digits (40) 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 (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121109 + ... + 1121131.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 2^25785760 is an apocalyptic number.

25785760 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 25785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43436736).

25785760 is an abundant number, since it is smaller than the sum of its proper divisors (61087712).

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

25785760 is a wasteful number, since it uses less digits than its factorization.

25785760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 25785760 is about 5077.9680975760. The cubic root of 25785760 is about 295.4336626732.

It can be divided in two parts, 2578 and 5760, that added together give a palindrome (8338).

The spelling of 25785760 in words is "twenty-five million, seven hundred eighty-five thousand, seven hundred sixty".