822766320 has 120 divisors (see below), whose sum is σ = 2768397216. Its totient is φ = 218985984.

The previous prime is 822766313. The next prime is 822766333. The reversal of 822766320 is 23667228.

It is a tau number, because it is divible by the number of its divisors (120).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630789 + ... + 632091.

Almost surely, 2^822766320 is an apocalyptic number.

822766320 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 822766320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384198608).

822766320 is an abundant number, since it is smaller than the sum of its proper divisors (1945630896).

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

822766320 is a wasteful number, since it uses less digits than its factorization.

822766320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 822766320 is about 28683.9035000469. The cubic root of 822766320 is about 937.0415208866.

It can be divided in two parts, 8227 and 66320, that added together give a palindrome (74547).

The spelling of 822766320 in words is "eight hundred twenty-two million, seven hundred sixty-six thousand, three hundred twenty".