8001075000 has 96 divisors (see below), whose sum is σ = 25001993520. Its totient is φ = 2133600000.

The previous prime is 8001074999. The next prime is 8001075013. The reversal of 8001075000 is 5701008.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21660 + ... + 128340.

Almost surely, 2^8001075000 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 8001075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12500996760).

8001075000 is an abundant number, since it is smaller than the sum of its proper divisors (17000918520).

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

8001075000 is a wasteful number, since it uses less digits than its factorization.

8001075000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106715 (or 106691 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 8001075000 is about 89448.7283308153. The cubic root of 8001075000 is about 2000.0895793210.

Adding to 8001075000 its reverse (5701008), we get a palindrome (8006776008).

The spelling of 8001075000 in words is "eight billion, one million, seventy-five thousand".