13276800 has 144 divisors (see below), whose sum is σ = 47477430. Its totient is φ = 3532800.

The previous prime is 13276799. The next prime is 13276817. The reversal of 13276800 is 867231.

It can be written as a sum of positive squares in 3 ways, for example, as 8714304 + 4562496 = 2952^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28570 + ... + 29030.

Almost surely, 2^13276800 is an apocalyptic number.

13276800 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 13276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23738715).

13276800 is an abundant number, since it is smaller than the sum of its proper divisors (34200630).

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

13276800 is a wasteful number, since it uses less digits than its factorization.

13276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13276800 is about 3643.7343481654. The cubic root of 13276800 is about 236.7906071268.

The spelling of 13276800 in words is "thirteen million, two hundred seventy-six thousand, eight hundred".