13778760 has 64 divisors (see below), whose sum is σ = 41616000. Its totient is φ = 3649536.

The previous prime is 13778759. The next prime is 13778773. The reversal of 13778760 is 6787731.

Added to its reverse (6787731) it gives a triangular number (20566491 = T₆₄₁₃).

13778760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23592 + ... + 24168.

It is an arithmetic number, because the mean of its divisors is an integer number (650250).

Almost surely, 2^13778760 is an apocalyptic number.

13778760 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 13778760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808000).

13778760 is an abundant number, since it is smaller than the sum of its proper divisors (27837240).

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

13778760 is a wasteful number, since it uses less digits than its factorization.

13778760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 13778760 is about 3711.9752154345. The cubic root of 13778760 is about 239.7379083318.

Adding to 13778760 its reverse (6787731), we get a triangular number (20566491 = T₆₄₁₃).

The spelling of 13778760 in words is "thirteen million, seven hundred seventy-eight thousand, seven hundred sixty".