8022784900 has 135 divisors (see below), whose sum is σ = 19222746011. Its totient is φ = 2906367360.

The previous prime is 8022784871. The next prime is 8022784909. The reversal of 8022784900 is 94872208.

The square root of 8022784900 is 89570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 4738119556 + 3284665344 = 68834^2 + 57312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8022784909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 151373274 + ... + 151373326.

Almost surely, 2^8022784900 is an apocalyptic number.

8022784900 is the 89570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8022784900

8022784900 is an abundant number, since it is smaller than the sum of its proper divisors (11199961111).

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

8022784900 is an equidigital number, since it uses as much as digits as its factorization.

8022784900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The cubic root of 8022784900 is about 2001.8969419035.

The spelling of 8022784900 in words is "eight billion, twenty-two million, seven hundred eighty-four thousand, nine hundred".