822716440 has 256 divisors, whose sum is σ = 2461777920. Its totient is φ = 240261120.

The previous prime is 822716437. The next prime is 822716441. The reversal of 822716440 is 44617228.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 822716396 and 822716405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822716441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2595162 + ... + 2595478.

It is an arithmetic number, because the mean of its divisors is an integer number (9616320).

Almost surely, 2^822716440 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 822716440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230888960).

822716440 is an abundant number, since it is smaller than the sum of its proper divisors (1639061480).

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

822716440 is a wasteful number, since it uses less digits than its factorization.

822716440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 822716440 is about 28683.0340096720. The cubic root of 822716440 is about 937.0225845355.

The spelling of 822716440 in words is "eight hundred twenty-two million, seven hundred sixteen thousand, four hundred forty".