8128804320 has 1152 divisors, whose sum is σ = 37447038720. Its totient is φ = 1557135360.

The previous prime is 8128804267. The next prime is 8128804339. The reversal of 8128804320 is 234088218.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 91334836 + ... + 91334924.

It is an arithmetic number, because the mean of its divisors is an integer number (32506110).

Almost surely, 2^8128804320 is an apocalyptic number.

8128804320 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 8128804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723519360).

8128804320 is an abundant number, since it is smaller than the sum of its proper divisors (29318234400).

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

8128804320 is a wasteful number, since it uses less digits than its factorization.

8128804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8128804320 is about 90159.8819875004. The cubic root of 8128804320 is about 2010.6765970525.

The spelling of 8128804320 in words is "eight billion, one hundred twenty-eight million, eight hundred four thousand, three hundred twenty".