260372880 has 200 divisors, whose sum is σ = 944171712. Its totient is φ = 66375936.

The previous prime is 260372843. The next prime is 260372887. The reversal of 260372880 is 88273062.

It is a happy number.

260372880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (260372887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148167 + ... + 149913.

Almost surely, 2^260372880 is an apocalyptic number.

260372880 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 260372880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472085856).

260372880 is an abundant number, since it is smaller than the sum of its proper divisors (683798832).

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

260372880 is a wasteful number, since it uses less digits than its factorization.

260372880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 260372880 is about 16136.0738719182. The cubic root of 260372880 is about 638.5554005771. Note that the first 3 decimals are identical.

The spelling of 260372880 in words is "two hundred sixty million, three hundred seventy-two thousand, eight hundred eighty".