13180800 has 96 divisors (see below), whose sum is σ = 43445880. Its totient is φ = 3512320.

The previous prime is 13180799. The next prime is 13180823. The reversal of 13180800 is 808131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 8914 + ... + 10286.

Almost surely, 2^13180800 is an apocalyptic number.

13180800 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 13180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21722940).

13180800 is an abundant number, since it is smaller than the sum of its proper divisors (30265080).

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

13180800 is a wasteful number, since it uses less digits than its factorization.

13180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 13180800 is about 3630.5371503402. The cubic root of 13180800 is about 236.2185087221.

Adding to 13180800 its reverse (808131), we get a palindrome (13988931).

The spelling of 13180800 in words is "thirteen million, one hundred eighty thousand, eight hundred".