822328200 has 240 divisors, whose sum is σ = 2981594880. Its totient is φ = 209658240.

The previous prime is 822328183. The next prime is 822328201. The reversal of 822328200 is 2823228.

It is a super-3 number, since 3×822328200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822328201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 371497 + ... + 373703.

It is an arithmetic number, because the mean of its divisors is an integer number (12423312).

Almost surely, 2^822328200 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 822328200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490797440).

822328200 is an abundant number, since it is smaller than the sum of its proper divisors (2159266680).

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

822328200 is a wasteful number, since it uses less digits than its factorization.

822328200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 822328200 is about 28676.2654472300. The cubic root of 822328200 is about 936.8751676494.

The spelling of 822328200 in words is "eight hundred twenty-two million, three hundred twenty-eight thousand, two hundred".