8056480320 has 1008 divisors, whose sum is σ = 35507541888. Its totient is φ = 1702010880.

The previous prime is 8056480309. The next prime is 8056480351. The reversal of 8056480320 is 230846508.

8056480320 is a `hidden beast` number, since 8 + 0 + 5 + 648 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196499500 + ... + 196499540.

It is an arithmetic number, because the mean of its divisors is an integer number (35225736).

Almost surely, 2^8056480320 is an apocalyptic number.

8056480320 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 8056480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17753770944).

8056480320 is an abundant number, since it is smaller than the sum of its proper divisors (27451061568).

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

8056480320 is a wasteful number, since it uses less digits than its factorization.

8056480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8056480320 is about 89757.8983711183. The cubic root of 8056480320 is about 2004.6956600935.

The spelling of 8056480320 in words is "eight billion, fifty-six million, four hundred eighty thousand, three hundred twenty".