16800 has 72 divisors (see below), whose sum is σ = 62496. Its totient is φ = 3840.

The previous prime is 16787. The next prime is 16811. The reversal of 16800 is 861.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 7 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 16800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2397 + ... + 2403.

It is an arithmetic number, because the mean of its divisors is an integer number (868).

2¹⁶⁸⁰⁰ is an apocalyptic number.

16800 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 16800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248).

16800 is an abundant number, since it is smaller than the sum of its proper divisors (45696).

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

16800 is a wasteful number, since it uses less digits than its factorization.

16800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 16800 is about 129.6148139682. The cubic root of 16800 is about 25.6115832997.

The spelling of 16800 in words is "sixteen thousand, eight hundred".