820822912 has 96 divisors (see below), whose sum is σ = 2048737320. Its totient is φ = 324688896.

The previous prime is 820822909. The next prime is 820822913. The reversal of 820822912 is 219228028.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820822913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76503 + ... + 86569.

Almost surely, 2^820822912 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 820822912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024368660).

820822912 is an abundant number, since it is smaller than the sum of its proper divisors (1227914408).

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

820822912 is a wasteful number, since it uses less digits than its factorization.

820822912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10108 (or 10089 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 820822912 is about 28650.0071902260. The cubic root of 820822912 is about 936.3031623232.

The spelling of 820822912 in words is "eight hundred twenty million, eight hundred twenty-two thousand, nine hundred twelve".