8830768320 has 672 divisors, whose sum is σ = 36973946880. Its totient is φ = 1906606080.

The previous prime is 8830768291. The next prime is 8830768321. The reversal of 8830768320 is 238670388.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8830768321) 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, 10232209 + ... + 10233071.

Almost surely, 2^8830768320 is an apocalyptic number.

8830768320 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 8830768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486973440).

8830768320 is an abundant number, since it is smaller than the sum of its proper divisors (28143178560).

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

8830768320 is a wasteful number, since it uses less digits than its factorization.

8830768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8830768320 is about 93972.1677945124. The cubic root of 8830768320 is about 2066.9636081597.

The spelling of 8830768320 in words is "eight billion, eight hundred thirty million, seven hundred sixty-eight thousand, three hundred twenty".