8278744320 has 1440 divisors, whose sum is σ = 39745956096. Its totient is φ = 1592524800.

The previous prime is 8278744247. The next prime is 8278744321. The reversal of 8278744320 is 234478728.

8278744320 is a `hidden beast` number, since 82 + 78 + 74 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8278744321) 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 159 ways as a sum of consecutive naturals, for example, 135717090 + ... + 135717150.

Almost surely, 2^8278744320 is an apocalyptic number.

8278744320 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 8278744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872978048).

8278744320 is an abundant number, since it is smaller than the sum of its proper divisors (31467211776).

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

8278744320 is a wasteful number, since it uses less digits than its factorization.

8278744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 8278744320 is about 90987.6053097344. The cubic root of 8278744320 is about 2022.9640112621.

The spelling of 8278744320 in words is "eight billion, two hundred seventy-eight million, seven hundred forty-four thousand, three hundred twenty".