8230872000 has 896 divisors, whose sum is σ = 32378830848. Its totient is φ = 1824768000.

The previous prime is 8230871989. The next prime is 8230872019. The reversal of 8230872000 is 2780328.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 222455982 + ... + 222456018.

It is an arithmetic number, because the mean of its divisors is an integer number (36137088).

Almost surely, 2^8230872000 is an apocalyptic number.

8230872000 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 8230872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189415424).

8230872000 is an abundant number, since it is smaller than the sum of its proper divisors (24147958848).

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

8230872000 is a wasteful number, since it uses less digits than its factorization.

8230872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 8230872000 is about 90724.1533440792. The cubic root of 8230872000 is about 2019.0571687349.

The spelling of 8230872000 in words is "eight billion, two hundred thirty million, eight hundred seventy-two thousand".