8286800000 has 96 divisors (see below), whose sum is σ = 20635749540. Its totient is φ = 3314560000.

The previous prime is 8286799933. The next prime is 8286800009. The reversal of 8286800000 is 86828.

It can be written as a sum of positive squares in 6 ways, for example, as 3225331264 + 5061468736 = 56792^2 + 71144^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 8286800000.

It is not an unprimeable number, because it can be changed into a prime (8286800009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389642 + ... + 410358.

Almost surely, 2^8286800000 is an apocalyptic number.

8286800000 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 8286800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317874770).

8286800000 is an abundant number, since it is smaller than the sum of its proper divisors (12348949540).

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

8286800000 is an frugal number, since it uses more digits than its factorization.

8286800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20756 (or 20724 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 8286800000 is about 91031.8625537235. The cubic root of 8286800000 is about 2023.6199508265.

Adding to 8286800000 its reverse (86828), we get a palindrome (8286886828).

The spelling of 8286800000 in words is "eight billion, two hundred eighty-six million, eight hundred thousand".