822809120 has 96 divisors (see below), whose sum is σ = 2229752448. Its totient is φ = 281069568.

The previous prime is 822809101. The next prime is 822809123. The reversal of 822809120 is 21908228.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (822809123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342644 + ... + 345036.

It is an arithmetic number, because the mean of its divisors is an integer number (23226588).

Almost surely, 2^822809120 is an apocalyptic number.

822809120 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 822809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114876224).

822809120 is an abundant number, since it is smaller than the sum of its proper divisors (1406943328).

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

822809120 is a wasteful number, since it uses less digits than its factorization.

822809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 822809120 is about 28684.6495533761. The cubic root of 822809120 is about 937.0577687894.

The spelling of 822809120 in words is "eight hundred twenty-two million, eight hundred nine thousand, one hundred twenty".