8001001008 has 480 divisors, whose sum is σ = 30730033152. Its totient is φ = 1875916800.

The previous prime is 8001001003. The next prime is 8001001051.

It is a happy number.

8001001008 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

8001001008 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (8001001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6774178 + ... + 6775358.

Almost surely, 2^8001001008 is an apocalyptic number.

8001001008 is a gapful number since it is divisible by the number (88) 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 8001001008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365016576).

8001001008 is an abundant number, since it is smaller than the sum of its proper divisors (22729032144).

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

8001001008 is a wasteful number, since it uses less digits than its factorization.

8001001008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 8001001008 is about 89448.3147297924. The cubic root of 8001001008 is about 2000.0834138543.

It can be divided in two parts, 800100 and 1008, that added together give a palindrome (801108).

The spelling of 8001001008 in words is "eight billion, one million, one thousand, eight".