8005000000 has 112 divisors (see below), whose sum is σ = 19868503824. Its totient is φ = 3200000000.

The previous prime is 8004999997. The next prime is 8005000019. The reversal of 8005000000 is 5008.

It can be written as a sum of positive squares in 8 ways, for example, as 7872657984 + 132342016 = 88728^2 + 11504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999200 + ... + 5000800.

Almost surely, 2^8005000000 is an apocalyptic number.

8005000000 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 8005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9934251912).

8005000000 is an abundant number, since it is smaller than the sum of its proper divisors (11863503824).

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

8005000000 is an frugal number, since it uses more digits than its factorization.

8005000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 8005000000 is about 89470.6655837543. The cubic root of 8005000000 is about 2000.4165798912.

Adding to 8005000000 its reverse (5008), we get a palindrome (8005005008).

The spelling of 8005000000 in words is "eight billion, five million", and thus it is an aban number and an uban number.