8008002000 has 540 divisors, whose sum is σ = 30281189484. Its totient is φ = 1972185600.

The previous prime is 8008001999. The next prime is 8008002109. The reversal of 8008002000 is 2008008.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2413560384 + 5594441616 = 49128^2 + 74796^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 276137986 + ... + 276138014.

Almost surely, 2^8008002000 is an apocalyptic number.

8008002000 is a gapful number since it is divisible by the number (80) 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 8008002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15140594742).

8008002000 is an abundant number, since it is smaller than the sum of its proper divisors (22273187484).

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

8008002000 is a wasteful number, since it uses less digits than its factorization.

8008002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8008002000 is about 89487.4404595416. The cubic root of 8008002000 is about 2000.6666111235. Note that the first 4 decimals are identical.

The spelling of 8008002000 in words is "eight billion, eight million, two thousand".