13280800 has 72 divisors (see below), whose sum is σ = 34943076. Its totient is φ = 4899840.

The previous prime is 13280797. The next prime is 13280819. The reversal of 13280800 is 808231.

It can be written as a sum of positive squares in 6 ways, for example, as 3370896 + 9909904 = 1836^2 + 3148^2 .

It is a nialpdrome in base 16.

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, 9762 + ... + 11038.

Almost surely, 2^13280800 is an apocalyptic number.

13280800 is a gapful number since it is divisible by the number (10) 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 13280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17471538).

13280800 is an abundant number, since it is smaller than the sum of its proper divisors (21662276).

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

13280800 is a wasteful number, since it uses less digits than its factorization.

13280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 13280800 is about 3644.2831942647. The cubic root of 13280800 is about 236.8143846265.

The spelling of 13280800 in words is "thirteen million, two hundred eighty thousand, eight hundred".