260788800 has 84 divisors (see below), whose sum is σ = 855620336. Its totient is φ = 69542400.

The previous prime is 260788769. The next prime is 260788817. The reversal of 260788800 is 8887062.

260788800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22366 + ... + 31965.

Almost surely, 2^260788800 is an apocalyptic number.

260788800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260788800 is an abundant number, since it is smaller than the sum of its proper divisors (594831536).

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

260788800 is a wasteful number, since it uses less digits than its factorization.

260788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54356 (or 54341 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 260788800 is about 16148.9566226428. The cubic root of 260788800 is about 638.8952294547.

The spelling of 260788800 in words is "two hundred sixty million, seven hundred eighty-eight thousand, eight hundred".