822410820 has 480 divisors, whose sum is σ = 3395589120. Its totient is φ = 161429760.

The previous prime is 822410807. The next prime is 822410867. The reversal of 822410820 is 28014228.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2369887 + ... + 2370233.

It is an arithmetic number, because the mean of its divisors is an integer number (7074144).

Almost surely, 2^822410820 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 822410820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697794560).

822410820 is an abundant number, since it is smaller than the sum of its proper divisors (2573178300).

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

822410820 is a wasteful number, since it uses less digits than its factorization.

822410820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 822410820 is about 28677.7059751996. The cubic root of 822410820 is about 936.9065428084.

It can be divided in two parts, 8224 and 10820, that added together give a square (19044 = 138²).

The spelling of 822410820 in words is "eight hundred twenty-two million, four hundred ten thousand, eight hundred twenty".