8830080 has 256 divisors, whose sum is σ = 36230400. Its totient is φ = 1990656.

The previous prime is 8830069. The next prime is 8830103. The reversal of 8830080 is 800388.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120924 + ... + 120996.

It is an arithmetic number, because the mean of its divisors is an integer number (141525).

Almost surely, 2^8830080 is an apocalyptic number.

8830080 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 8830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115200).

8830080 is an abundant number, since it is smaller than the sum of its proper divisors (27400320).

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

8830080 is a wasteful number, since it uses less digits than its factorization.

8830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8830080 is about 2971.5450526620. The cubic root of 8830080 is about 206.6909903155.

The spelling of 8830080 in words is "eight million, eight hundred thirty thousand, eighty".