1000008000 has 672 divisors, whose sum is σ = 4079687040. Its totient is φ = 232243200.

The previous prime is 1000007941. The next prime is 1000008041. The reversal of 1000008000 is 8000001.

1000008000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 95 ways as a sum of consecutive naturals, for example, 23255979 + ... + 23256021.

Almost surely, 2^1000008000 is an apocalyptic number.

1000008000 is a gapful number since it is divisible by the number (10) 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 1000008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039843520).

1000008000 is an abundant number, since it is smaller than the sum of its proper divisors (3079679040).

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

1000008000 is a wasteful number, since it uses less digits than its factorization.

1000008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

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

The square root of 1000008000 is about 31622.9030925372. The cubic root of 1000008000 is about 1000.0026666596.

Adding to 1000008000 its reverse (8000001), we get a palindrome (1008008001).

The spelling of 1000008000 in words is "one billion, eight thousand".