8278816320 has 84 divisors (see below), whose sum is σ = 28475688540. Its totient is φ = 2207683584.

The previous prime is 8278816313. The next prime is 8278816327. The reversal of 8278816320 is 236188728.

8278816320 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 8 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8278816313) and next prime (8278816327).

It can be written as a sum of positive squares in 2 ways, for example, as 2501600256 + 5777216064 = 50016^2 + 76008^2 .

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 (8278816327) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1434415 + ... + 1440174.

Almost surely, 2^8278816320 is an apocalyptic number.

8278816320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8278816320 is an abundant number, since it is smaller than the sum of its proper divisors (20196872220).

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

8278816320 is a wasteful number, since it uses less digits than its factorization.

8278816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874612 (or 2874599 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8278816320 is about 90988.0009671605. Note that the first 3 decimals coincide. The cubic root of 8278816320 is about 2022.9698757983.

The spelling of 8278816320 in words is "eight billion, two hundred seventy-eight million, eight hundred sixteen thousand, three hundred twenty".