822712320 has 288 divisors, whose sum is σ = 2913019200. Its totient is φ = 214695936.

The previous prime is 822712309. The next prime is 822712321. The reversal of 822712320 is 23217228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×822712320² = 1353711122959564800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822712321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7280584 + ... + 7280696.

It is an arithmetic number, because the mean of its divisors is an integer number (10114650).

Almost surely, 2^822712320 is an apocalyptic number.

822712320 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 822712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456509600).

822712320 is an abundant number, since it is smaller than the sum of its proper divisors (2090306880).

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

822712320 is a wasteful number, since it uses less digits than its factorization.

822712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 822712320 is about 28682.9621901226. The cubic root of 822712320 is about 937.0210203921.

Adding to 822712320 its reverse (23217228), we get a palindrome (845929548).

The spelling of 822712320 in words is "eight hundred twenty-two million, seven hundred twelve thousand, three hundred twenty".