8022268800 has 576 divisors, whose sum is σ = 35242640160. Its totient is φ = 1692057600.

The previous prime is 8022268769. The next prime is 8022268823. The reversal of 8022268800 is 88622208.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2619270 + ... + 2622330.

Almost surely, 2^8022268800 is an apocalyptic number.

8022268800 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 8022268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17621320080).

8022268800 is an abundant number, since it is smaller than the sum of its proper divisors (27220371360).

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

8022268800 is a wasteful number, since it uses less digits than its factorization.

8022268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8022268800 is about 89567.1189667280. The cubic root of 8022268800 is about 2001.8540141181.

The spelling of 8022268800 in words is "eight billion, twenty-two million, two hundred sixty-eight thousand, eight hundred".