8822368800 has 1152 divisors, whose sum is σ = 39897446400. Its totient is φ = 1836380160.

The previous prime is 8822368799. The next prime is 8822368801. The reversal of 8822368800 is 88632288.

It is an interprime number because it is at equal distance from previous prime (8822368799) and next prime (8822368801).

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

It is not an unprimeable number, because it can be changed into a prime (8822368801) 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, 106293559 + ... + 106293641.

It is an arithmetic number, because the mean of its divisors is an integer number (34633200).

Almost surely, 2^8822368800 is an apocalyptic number.

8822368800 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 8822368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948723200).

8822368800 is an abundant number, since it is smaller than the sum of its proper divisors (31075077600).

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

8822368800 is a wasteful number, since it uses less digits than its factorization.

8822368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8822368800 is about 93927.4656317310. The cubic root of 8822368800 is about 2066.3080589481.

The spelling of 8822368800 in words is "eight billion, eight hundred twenty-two million, three hundred sixty-eight thousand, eight hundred".