8008200000 has 336 divisors, whose sum is σ = 29446240320. Its totient is φ = 2134080000.

The previous prime is 8008199999. The next prime is 8008200001. The reversal of 8008200000 is 28008.

It is an interprime number because it is at equal distance from previous prime (8008199999) and next prime (8008200001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008200001) 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, 5399259 + ... + 5400741.

It is an arithmetic number, because the mean of its divisors is an integer number (87637620).

Almost surely, 2^8008200000 is an apocalyptic number.

8008200000 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 8008200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14723120160).

8008200000 is an abundant number, since it is smaller than the sum of its proper divisors (21438040320).

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

8008200000 is an equidigital number, since it uses as much as digits as its factorization.

8008200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8008200000 is about 89488.5467532019. The cubic root of 8008200000 is about 2000.6830999940.

Adding to 8008200000 its reverse (28008), we get a palindrome (8008228008).

The spelling of 8008200000 in words is "eight billion, eight million, two hundred thousand".