8005321000 has 128 divisors (see below), whose sum is σ = 19158197760. Its totient is φ = 3130176000.

The previous prime is 8005320997. The next prime is 8005321043. The reversal of 8005321000 is 1235008.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9726589 + ... + 9727411.

It is an arithmetic number, because the mean of its divisors is an integer number (149673420).

Almost surely, 2^8005321000 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 8005321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579098880).

8005321000 is an abundant number, since it is smaller than the sum of its proper divisors (11152876760).

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

8005321000 is a wasteful number, since it uses less digits than its factorization.

8005321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 8005321000 is about 89472.4594498218. The cubic root of 8005321000 is about 2000.4433183938.

Adding to 8005321000 its reverse (1235008), we get a palindrome (8006556008).

The spelling of 8005321000 in words is "eight billion, five million, three hundred twenty-one thousand".