8005825000 has 96 divisors (see below), whose sum is σ = 18831294720. Its totient is φ = 3190600000.

The previous prime is 8005824997. The next prime is 8005825001. The reversal of 8005825000 is 5285008.

It is a self number, because there is not a number n which added to its sum of digits gives 8005825000.

It is not an unprimeable number, because it can be changed into a prime (8005825001) 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, 10774629 + ... + 10775371.

It is an arithmetic number, because the mean of its divisors is an integer number (196159320).

Almost surely, 2^8005825000 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 8005825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9415647360).

8005825000 is an abundant number, since it is smaller than the sum of its proper divisors (10825469720).

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

8005825000 is an equidigital number, since it uses as much as digits as its factorization.

8005825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 8005825000 is about 89475.2759146347. The cubic root of 8005825000 is about 2000.4852988996.

The spelling of 8005825000 in words is "eight billion, five million, eight hundred twenty-five thousand".