13070800 has 60 divisors (see below), whose sum is σ = 32208876. Its totient is φ = 5094400.

The previous prime is 13070797. The next prime is 13070819. The reversal of 13070800 is 807031.

13070800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2286144 + 10784656 = 1512^2 + 3284^2 .

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, 16002 + ... + 16798.

Almost surely, 2^13070800 is an apocalyptic number.

13070800 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 13070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104438).

13070800 is an abundant number, since it is smaller than the sum of its proper divisors (19138076).

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

13070800 is a wasteful number, since it uses less digits than its factorization.

13070800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 13070800 is about 3615.3561373674. The cubic root of 13070800 is about 235.5595538791.

Adding to 13070800 its reverse (807031), we get a palindrome (13877831).

The spelling of 13070800 in words is "thirteen million, seventy thousand, eight hundred".