8056882080 has 960 divisors, whose sum is σ = 33886369440. Its totient is φ = 1783627776.

The previous prime is 8056882073. The next prime is 8056882087. The reversal of 8056882080 is 802886508.

8056882080 is a `hidden beast` number, since 8 + 0 + 568 + 8 + 2 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (8056882073) and next prime (8056882087).

It can be written as a sum of positive squares in 16 ways, for example, as 535829904 + 7521052176 = 23148^2 + 86724^2 .

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 (8056882087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83060592 + ... + 83060688.

Almost surely, 2^8056882080 is an apocalyptic number.

8056882080 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 8056882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16943184720).

8056882080 is an abundant number, since it is smaller than the sum of its proper divisors (25829487360).

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

8056882080 is a wasteful number, since it uses less digits than its factorization.

8056882080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 8056882080 is about 89760.1363635328. The cubic root of 8056882080 is about 2004.7289828808.

The spelling of 8056882080 in words is "eight billion, fifty-six million, eight hundred eighty-two thousand, eighty".