8000800000 has 216 divisors, whose sum is σ = 20382804792. Its totient is φ = 3133440000.

The previous prime is 8000799973. The next prime is 8000800001. The reversal of 8000800000 is 80008.

It can be written as a sum of positive squares in 12 ways, for example, as 7893967104 + 106832896 = 88848^2 + 10336^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 (8000800001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58399932 + ... + 58400068.

It is an arithmetic number, because the mean of its divisors is an integer number (94364837).

Almost surely, 2^8000800000 is an apocalyptic number.

8000800000 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 8000800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10191402396).

8000800000 is an abundant number, since it is smaller than the sum of its proper divisors (12382004792).

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

8000800000 is an frugal number, since it uses more digits than its factorization.

8000800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8000800000 is about 89447.1911241488. The cubic root of 8000800000 is about 2000.0666644446.

Adding to 8000800000 its reverse (80008), we get a palindrome (8000880008).

8000800000 divided by its reverse (80008) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 8000 and 800000, that multiplied together give a square (6400000000 = 80000²).

The spelling of 8000800000 in words is "eight billion, eight hundred thousand".