822249792 has 504 divisors, whose sum is σ = 3098755296. Its totient is φ = 214244352.

The previous prime is 822249781. The next prime is 822249803. The reversal of 822249792 is 297942228.

It is an interprime number because it is at equal distance from previous prime (822249781) and next prime (822249803).

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9906583 + ... + 9906665.

It is an arithmetic number, because the mean of its divisors is an integer number (6148324).

Almost surely, 2^822249792 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 822249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549377648).

822249792 is an abundant number, since it is smaller than the sum of its proper divisors (2276505504).

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

822249792 is a wasteful number, since it uses less digits than its factorization.

822249792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 822249792 is about 28674.8982910140. The cubic root of 822249792 is about 936.8453900646.

The spelling of 822249792 in words is "eight hundred twenty-two million, two hundred forty-nine thousand, seven hundred ninety-two".