8004020200 has 96 divisors (see below), whose sum is σ = 20956158720. Its totient is φ = 2816640000.

The previous prime is 8004020177. The next prime is 8004020201. The reversal of 8004020200 is 20204008.

It is not an unprimeable number, because it can be changed into a prime (8004020201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9520 + ... + 126880.

It is an arithmetic number, because the mean of its divisors is an integer number (218293320).

Almost surely, 2^8004020200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478079360).

8004020200 is an abundant number, since it is smaller than the sum of its proper divisors (12952138520).

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

8004020200 is a wasteful number, since it uses less digits than its factorization.

8004020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117419 (or 117410 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 8004020200 is about 89465.1898785220. The cubic root of 8004020200 is about 2000.3349605642.

Adding to 8004020200 its reverse (20204008), we get a palindrome (8024224208).

The spelling of 8004020200 in words is "eight billion, four million, twenty thousand, two hundred".