25781760 has 160 divisors (see below), whose sum is σ = 91824480. Its totient is φ = 6856704.

The previous prime is 25781747. The next prime is 25781771. The reversal of 25781760 is 6718752.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68934 + ... + 69306.

It is an arithmetic number, because the mean of its divisors is an integer number (573903).

Almost surely, 2^25781760 is an apocalyptic number.

25781760 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 25781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45912240).

25781760 is an abundant number, since it is smaller than the sum of its proper divisors (66042720).

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

25781760 is an equidigital number, since it uses as much as digits as its factorization.

25781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 25781760 is about 5077.5742239774. The cubic root of 25781760 is about 295.4183855621.

The spelling of 25781760 in words is "twenty-five million, seven hundred eighty-one thousand, seven hundred sixty".