16801800 has 96 divisors (see below), whose sum is σ = 53434080. Its totient is φ = 4364800.

The previous prime is 16801793. The next prime is 16801819. The reversal of 16801800 is 810861.

It is a Cunningham number, because it is equal to 4099²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 24259 + ... + 24941.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 2^16801800 is an apocalyptic number.

16801800 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 16801800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

16801800 is an abundant number, since it is smaller than the sum of its proper divisors (36632280).

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

16801800 is a wasteful number, since it uses less digits than its factorization.

16801800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 16801800 is about 4098.9998780190. Note that the first 3 decimals coincide. The cubic root of 16801800 is about 256.1249796649.

The spelling of 16801800 in words is "sixteen million, eight hundred one thousand, eight hundred".