13007080 has 32 divisors (see below), whose sum is σ = 30277800. Its totient is φ = 5022976.

The previous prime is 13007069. The next prime is 13007087. The reversal of 13007080 is 8070031.

13007080 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 4 ways, for example, as 7043716 + 5963364 = 2654^2 + 2442^2 .

It is not an unprimeable number, because it can be changed into a prime (13007087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4447 + ... + 6766.

Almost surely, 2^13007080 is an apocalyptic number.

13007080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13007080 is an abundant number, since it is smaller than the sum of its proper divisors (17270720).

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

13007080 is a wasteful number, since it uses less digits than its factorization.

13007080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11253 (or 11249 counting only the distinct ones).

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

The square root of 13007080 is about 3606.5329611692. The cubic root of 13007080 is about 235.1761467935.

The spelling of 13007080 in words is "thirteen million, seven thousand, eighty".