8000000001 has 96 divisors (see below), whose sum is σ = 14494072320. Its totient is φ = 4151347200.

The previous prime is 7999999957. The next prime is 8000000011. The reversal of 8000000001 is 1000000008.

It is a Cunningham number, because it is equal to 2000³+1.

It is not a de Polignac number, because 8000000001 - 2⁶ = 7999999937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 8000000001.

It is not an unprimeable number, because it can be changed into a prime (8000000011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2561721 + ... + 2564841.

It is an arithmetic number, because the mean of its divisors is an integer number (150979920).

Almost surely, 2^8000000001 is an apocalyptic number.

It is an amenable number.

8000000001 is a deficient number, since it is larger than the sum of its proper divisors (6494072319).

8000000001 is a wasteful number, since it uses less digits than its factorization.

8000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 8000000001 is about 89442.7191055818. The cubic root of 8000000001 is about 2000.0000000833. Note that the first 7 decimals are identical.

Adding to 8000000001 its reverse (1000000008), we get a palindrome (9000000009).

The spelling of 8000000001 in words is "eight billion, one", and thus it is an aban number and an uban number.