25760 has 48 divisors (see below), whose sum is σ = 72576. Its totient is φ = 8448.

The previous prime is 25759. The next prime is 25763. The reversal of 25760 is 6752.

25760 = T₉₉ + T₁₀₀ + ... + T₁₀₃.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1109 + ... + 1131.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2²⁵⁷⁶⁰ is an apocalyptic number.

25760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 160×161.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

25760 is an abundant number, since it is smaller than the sum of its proper divisors (46816).

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

25760 is a wasteful number, since it uses less digits than its factorization.

25760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 25760 is about 160.4992211819. The cubic root of 25760 is about 29.5335250387.

The spelling of 25760 in words is "twenty-five thousand, seven hundred sixty".