13780760 has 96 divisors (see below), whose sum is σ = 36936000. Its totient is φ = 4612608.

The previous prime is 13780759. The next prime is 13780763. The reversal of 13780760 is 6708731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13780763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154796 + ... + 154884.

It is an arithmetic number, because the mean of its divisors is an integer number (384750).

Almost surely, 2^13780760 is an apocalyptic number.

13780760 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 13780760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18468000).

13780760 is an abundant number, since it is smaller than the sum of its proper divisors (23155240).

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

13780760 is a wasteful number, since it uses less digits than its factorization.

13780760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 13780760 is about 3712.2446040098. The cubic root of 13780760 is about 239.7495071651.

The spelling of 13780760 in words is "thirteen million, seven hundred eighty thousand, seven hundred sixty".