8221320800 has 288 divisors, whose sum is σ = 25252383744. Its totient is φ = 2560166400.

The previous prime is 8221320797. The next prime is 8221320803. The reversal of 8221320800 is 80231228.

It is an interprime number because it is at equal distance from previous prime (8221320797) and next prime (8221320803).

It is a self number, because there is not a number n which added to its sum of digits gives 8221320800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221320803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7453049 + ... + 7454151.

It is an arithmetic number, because the mean of its divisors is an integer number (87681888).

Almost surely, 2^8221320800 is an apocalyptic number.

8221320800 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 8221320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12626191872).

8221320800 is an abundant number, since it is smaller than the sum of its proper divisors (17031062944).

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

8221320800 is a wasteful number, since it uses less digits than its factorization.

8221320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 8221320800 is about 90671.4993810073. The cubic root of 8221320800 is about 2018.2758872809.

The spelling of 8221320800 in words is "eight billion, two hundred twenty-one million, three hundred twenty thousand, eight hundred".