8284081300 has 144 divisors (see below), whose sum is σ = 20982907008. Its totient is φ = 2805350400.

The previous prime is 8284081297. The next prime is 8284081321. The reversal of 8284081300 is 31804828.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811617 + ... + 1816183.

It is an arithmetic number, because the mean of its divisors is an integer number (145714632).

Almost surely, 2^8284081300 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 8284081300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10491453504).

8284081300 is an abundant number, since it is smaller than the sum of its proper divisors (12698825708).

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

8284081300 is a wasteful number, since it uses less digits than its factorization.

8284081300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 8284081300 is about 91016.9286451702. The cubic root of 8284081300 is about 2023.3986262573.

The spelling of 8284081300 in words is "eight billion, two hundred eighty-four million, eighty-one thousand, three hundred".