25877280 has 288 divisors, whose sum is σ = 99610560. Its totient is φ = 5591040.

The previous prime is 25877279. The next prime is 25877287. The reversal of 25877280 is 8277852.

It is a Smith number, since the sum of its digits (39) 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 (39).

It is not an unprimeable number, because it can be changed into a prime (25877287) by changing a digit.

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, 892306 + ... + 892334.

It is an arithmetic number, because the mean of its divisors is an integer number (345870).

Almost surely, 2^25877280 is an apocalyptic number.

25877280 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 25877280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49805280).

25877280 is an abundant number, since it is smaller than the sum of its proper divisors (73733280).

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

25877280 is a wasteful number, since it uses less digits than its factorization.

25877280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 25877280 is about 5086.9715941806. The cubic root of 25877280 is about 295.7827722006.

It can be divided in two parts, 258772 and 80, that added together give a palindrome (258852).

The spelling of 25877280 in words is "twenty-five million, eight hundred seventy-seven thousand, two hundred eighty".