5623300800 has 1344 divisors, whose sum is σ = 25398374400. Its totient is φ = 1194393600.

The previous prime is 5623300763. The next prime is 5623300801. The reversal of 5623300800 is 80033265.

5623300800 is a `hidden beast` number, since 5 + 623 + 30 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5623300801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181396785 + ... + 181396815.

It is an arithmetic number, because the mean of its divisors is an integer number (18897600).

Almost surely, 2^5623300800 is an apocalyptic number.

5623300800 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 5623300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12699187200).

5623300800 is an abundant number, since it is smaller than the sum of its proper divisors (19775073600).

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

5623300800 is a wasteful number, since it uses less digits than its factorization.

5623300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5623300800 is about 74988.6711443802. The cubic root of 5623300800 is about 1778.2675564885.

The spelling of 5623300800 in words is "five billion, six hundred twenty-three million, three hundred thousand, eight hundred".