16000800 has 144 divisors (see below), whose sum is σ = 53434080. Its totient is φ = 4157440.

The previous prime is 16000799. The next prime is 16000813. The reversal of 16000800 is 800061.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16000800.

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, 141544 + ... + 141656.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 2^16000800 is an apocalyptic number.

16000800 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 16000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

16000800 is an abundant number, since it is smaller than the sum of its proper divisors (37433280).

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

16000800 is a wasteful number, since it uses less digits than its factorization.

16000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

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

The square root of 16000800 is about 4000.0999987500. The cubic root of 16000800 is about 251.9884096458.

Adding to 16000800 its reverse (800061), we get a palindrome (16800861).

The spelling of 16000800 in words is "sixteen million, eight hundred", and thus it is an aban number.