23800800 has 144 divisors (see below), whose sum is σ = 79494912. Its totient is φ = 6182400.

The previous prime is 23800781. The next prime is 23800807. The reversal of 23800800 is 800832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23800807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112695 + ... + 112905.

It is an arithmetic number, because the mean of its divisors is an integer number (552048).

Almost surely, 2^23800800 is an apocalyptic number.

23800800 is a gapful number since it is divisible by the number (20) 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 23800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39747456).

23800800 is an abundant number, since it is smaller than the sum of its proper divisors (55694112).

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

23800800 is a wasteful number, since it uses less digits than its factorization.

23800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 23800800 is about 4878.6063583774. The cubic root of 23800800 is about 287.6496511377.

The spelling of 23800800 in words is "twenty-three million, eight hundred thousand, eight hundred".