822309072 has 80 divisors (see below), whose sum is σ = 2304644160. Its totient is φ = 251145216.

The previous prime is 822309067. The next prime is 822309073. The reversal of 822309072 is 270903228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822309073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80679 + ... + 90297.

It is an arithmetic number, because the mean of its divisors is an integer number (28808052).

Almost surely, 2^822309072 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 822309072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152322080).

822309072 is an abundant number, since it is smaller than the sum of its proper divisors (1482335088).

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

822309072 is a wasteful number, since it uses less digits than its factorization.

822309072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9780 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 822309072 is about 28675.9319290586. The cubic root of 822309072 is about 936.8679034422.

The spelling of 822309072 in words is "eight hundred twenty-two million, three hundred nine thousand, seventy-two".