563790800 has 120 divisors (see below), whose sum is σ = 1472405760. Its totient is φ = 206668800.

The previous prime is 563790797. The next prime is 563790809. The reversal of 563790800 is 8097365.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563790809) 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, 234404 + ... + 236796.

It is an arithmetic number, because the mean of its divisors is an integer number (12270048).

Almost surely, 2^563790800 is an apocalyptic number.

563790800 is a gapful number since it is divisible by the number (50) 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 563790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736202880).

563790800 is an abundant number, since it is smaller than the sum of its proper divisors (908614960).

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

563790800 is a wasteful number, since it uses less digits than its factorization.

563790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 563790800 is about 23744.2793110256. The cubic root of 563790800 is about 826.1127561736.

The spelling of 563790800 in words is "five hundred sixty-three million, seven hundred ninety thousand, eight hundred".