8056454880 has 192 divisors, whose sum is σ = 25837455168. Its totient is φ = 2109849600.

The previous prime is 8056454837. The next prime is 8056454929. The reversal of 8056454880 is 884546508.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6641154 + ... + 6642366.

It is an arithmetic number, because the mean of its divisors is an integer number (134570079).

Almost surely, 2^8056454880 is an apocalyptic number.

8056454880 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 8056454880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12918727584).

8056454880 is an abundant number, since it is smaller than the sum of its proper divisors (17781000288).

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

8056454880 is a wasteful number, since it uses less digits than its factorization.

8056454880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 8056454880 is about 89757.7566564584. The cubic root of 8056454880 is about 2004.6935500111.

The spelling of 8056454880 in words is "eight billion, fifty-six million, four hundred fifty-four thousand, eight hundred eighty".