13774800 has 120 divisors (see below), whose sum is σ = 47573344. Its totient is φ = 3386880.

The previous prime is 13774799. The next prime is 13774823. The reversal of 13774800 is 847731.

It is a happy number.

13774800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15159 + ... + 16041.

Almost surely, 2^13774800 is an apocalyptic number.

13774800 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 13774800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23786672).

13774800 is an abundant number, since it is smaller than the sum of its proper divisors (33798544).

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

13774800 is a wasteful number, since it uses less digits than its factorization.

13774800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 13774800 is about 3711.4417683698. The cubic root of 13774800 is about 239.7149393302.

The spelling of 13774800 in words is "thirteen million, seven hundred seventy-four thousand, eight hundred".