13792800 has 144 divisors (see below), whose sum is σ = 51371712. Its totient is φ = 3148800.

The previous prime is 13792789. The next prime is 13792811. The reversal of 13792800 is 829731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13792789) and next prime (13792811).

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

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, 16390 + ... + 17210.

It is an arithmetic number, because the mean of its divisors is an integer number (356748).

Almost surely, 2^13792800 is an apocalyptic number.

13792800 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 13792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25685856).

13792800 is an abundant number, since it is smaller than the sum of its proper divisors (37578912).

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

13792800 is a wasteful number, since it uses less digits than its factorization.

13792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13792800 is about 3713.8659103419. The cubic root of 13792800 is about 239.8193084393.

The spelling of 13792800 in words is "thirteen million, seven hundred ninety-two thousand, eight hundred".