822856320 has 768 divisors, whose sum is σ = 3555377280. Its totient is φ = 179159040.

The previous prime is 822856319. The next prime is 822856367. The reversal of 822856320 is 23658228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22239342 + ... + 22239378.

Almost surely, 2^822856320 is an apocalyptic number.

822856320 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 822856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777688640).

822856320 is an abundant number, since it is smaller than the sum of its proper divisors (2732520960).

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

822856320 is a wasteful number, since it uses less digits than its factorization.

822856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 822856320 is about 28685.4722812785. The cubic root of 822856320 is about 937.0756863841.

The spelling of 822856320 in words is "eight hundred twenty-two million, eight hundred fifty-six thousand, three hundred twenty".