13778880 has 112 divisors (see below), whose sum is σ = 45256704. Its totient is φ = 3548160.

The previous prime is 13778867. The next prime is 13778903. The reversal of 13778880 is 8887731.

13778880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 29529 + ... + 29991.

Almost surely, 2^13778880 is an apocalyptic number.

13778880 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 13778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22628352).

13778880 is an abundant number, since it is smaller than the sum of its proper divisors (31477824).

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

13778880 is a wasteful number, since it uses less digits than its factorization.

13778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 13778880 is about 3711.9913793003. The cubic root of 13778880 is about 239.7386042934.

The spelling of 13778880 in words is "thirteen million, seven hundred seventy-eight thousand, eight hundred eighty".