822484980 has 72 divisors (see below), whose sum is σ = 2513157192. Its totient is φ = 217721856.

The previous prime is 822484919. The next prime is 822484987. The reversal of 822484980 is 89484228.

It is a happy number.

822484980 is a `hidden beast` number, since 82 + 2 + 484 + 98 + 0 = 666.

822484980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14333796 + 808151184 = 3786^2 + 28428^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822484987) 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, 7984 + ... + 41336.

It is an arithmetic number, because the mean of its divisors is an integer number (34904961).

Almost surely, 2^822484980 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 822484980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256578596).

822484980 is an abundant number, since it is smaller than the sum of its proper divisors (1690672212).

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

822484980 is a wasteful number, since it uses less digits than its factorization.

822484980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33505 (or 33500 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 822484980 is about 28678.9989365040. The cubic root of 822484980 is about 936.9347034710.

The spelling of 822484980 in words is "eight hundred twenty-two million, four hundred eighty-four thousand, nine hundred eighty".