25768980 has 72 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 6831552.

The previous prime is 25768969. The next prime is 25768987. The reversal of 25768980 is 8986752.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25768987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42721 + ... + 43319.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 2^25768980 is an apocalyptic number.

25768980 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 25768980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

25768980 is an abundant number, since it is smaller than the sum of its proper divisors (52855020).

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

25768980 is a wasteful number, since it uses less digits than its factorization.

25768980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 25768980 is about 5076.3155930261. The cubic root of 25768980 is about 295.3695646002.

The spelling of 25768980 in words is "twenty-five million, seven hundred sixty-eight thousand, nine hundred eighty".