8002822800 has 480 divisors, whose sum is σ = 31617976320. Its totient is φ = 1689292800.

The previous prime is 8002822771. The next prime is 8002822843. The reversal of 8002822800 is 82282008.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6542989 + ... + 6544211.

It is an arithmetic number, because the mean of its divisors is an integer number (65870784).

Almost surely, 2^8002822800 is an apocalyptic number.

8002822800 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 8002822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15808988160).

8002822800 is an abundant number, since it is smaller than the sum of its proper divisors (23615153520).

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

8002822800 is a wasteful number, since it uses less digits than its factorization.

8002822800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8002822800 is about 89458.4976399671. The cubic root of 8002822800 is about 2000.2352056714.

The spelling of 8002822800 in words is "eight billion, two million, eight hundred twenty-two thousand, eight hundred".