8120810304 has 224 divisors, whose sum is σ = 24768535680. Its totient is φ = 2607206400.

The previous prime is 8120810303. The next prime is 8120810309. The reversal of 8120810304 is 4030180218.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8120810303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5879694 + ... + 5881074.

It is an arithmetic number, because the mean of its divisors is an integer number (110573820).

Almost surely, 2^8120810304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8120810304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384267840).

8120810304 is an abundant number, since it is smaller than the sum of its proper divisors (16647725376).

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

8120810304 is a wasteful number, since it uses less digits than its factorization.

8120810304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8120810304 is about 90115.5386379064. The cubic root of 8120810304 is about 2010.0172687311.

The spelling of 8120810304 in words is "eight billion, one hundred twenty million, eight hundred ten thousand, three hundred four".