8228716080 has 320 divisors, whose sum is σ = 29171466240. Its totient is φ = 1902071808.

The previous prime is 8228716063. The next prime is 8228716103. The reversal of 8228716080 is 806178228.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7528014 + ... + 7529106.

It is an arithmetic number, because the mean of its divisors is an integer number (91160832).

Almost surely, 2^8228716080 is an apocalyptic number.

8228716080 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 8228716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14585733120).

8228716080 is an abundant number, since it is smaller than the sum of its proper divisors (20942750160).

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

8228716080 is a wasteful number, since it uses less digits than its factorization.

8228716080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 8228716080 is about 90712.2708347663. The cubic root of 8228716080 is about 2018.8808688304.

The spelling of 8228716080 in words is "eight billion, two hundred twenty-eight million, seven hundred sixteen thousand, eighty".