8022784000 has 576 divisors, whose sum is σ = 25828770240. Its totient is φ = 2433024000.

The previous prime is 8022783971. The next prime is 8022784001. The reversal of 8022784000 is 4872208.

It is a super-2 number, since 2×8022784000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8022784001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216831982 + ... + 216832018.

It is an arithmetic number, because the mean of its divisors is an integer number (44841615).

Almost surely, 2^8022784000 is an apocalyptic number.

8022784000 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 8022784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12914385120).

8022784000 is an abundant number, since it is smaller than the sum of its proper divisors (17805986240).

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

8022784000 is a wasteful number, since it uses less digits than its factorization.

8022784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 8022784000 is about 89569.9949759963. The cubic root of 8022784000 is about 2001.8968670456.

The spelling of 8022784000 in words is "eight billion, twenty-two million, seven hundred eighty-four thousand".