8122448880 has 960 divisors, whose sum is σ = 36407669760. Its totient is φ = 1619896320.

The previous prime is 8122448863. The next prime is 8122448891. The reversal of 8122448880 is 888442218.

8122448880 is a `hidden beast` number, since 8 + 122 + 448 + 8 + 80 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 188894139 + ... + 188894181.

It is an arithmetic number, because the mean of its divisors is an integer number (37924656).

Almost surely, 2^8122448880 is an apocalyptic number.

8122448880 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 8122448880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203834880).

8122448880 is an abundant number, since it is smaller than the sum of its proper divisors (28285220880).

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

8122448880 is a wasteful number, since it uses less digits than its factorization.

8122448880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 8122448880 is about 90124.6297079772. The cubic root of 8122448880 is about 2010.1524500098.

The spelling of 8122448880 in words is "eight billion, one hundred twenty-two million, four hundred forty-eight thousand, eight hundred eighty".