822967440 has 160 divisors (see below), whose sum is σ = 2603821440. Its totient is φ = 214990848.

The previous prime is 822967429. The next prime is 822967487. The reversal of 822967440 is 44769228.

822967440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 822967392 and 822967401.

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 31 ways as a sum of consecutive naturals, for example, 4263984 + ... + 4264176.

It is an arithmetic number, because the mean of its divisors is an integer number (16273884).

Almost surely, 2^822967440 is an apocalyptic number.

822967440 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 822967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301910720).

822967440 is an abundant number, since it is smaller than the sum of its proper divisors (1780854000).

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

822967440 is a wasteful number, since it uses less digits than its factorization.

822967440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 822967440 is about 28687.4090848233. The cubic root of 822967440 is about 937.1178659485.

The spelling of 822967440 in words is "eight hundred twenty-two million, nine hundred sixty-seven thousand, four hundred forty".