8223994800 has 960 divisors, whose sum is σ = 36311961600. Its totient is φ = 1746800640.

The previous prime is 8223994781. The next prime is 8223994819. The reversal of 8223994800 is 84993228.

8223994800 is a `hidden beast` number, since 82 + 2 + 3 + 99 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8223994781) and next prime (8223994819).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104101161 + ... + 104101239.

It is an arithmetic number, because the mean of its divisors is an integer number (37824960).

Almost surely, 2^8223994800 is an apocalyptic number.

8223994800 is a gapful number since it is divisible by the number (80) 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 8223994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18155980800).

8223994800 is an abundant number, since it is smaller than the sum of its proper divisors (28087966800).

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

8223994800 is a wasteful number, since it uses less digits than its factorization.

8223994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8223994800 is about 90686.2437197616. The cubic root of 8223994800 is about 2018.4946795669.

The spelling of 8223994800 in words is "eight billion, two hundred twenty-three million, nine hundred ninety-four thousand, eight hundred".