822116736 has 256 divisors, whose sum is σ = 2937600000. Its totient is φ = 220962816.

The previous prime is 822116717. The next prime is 822116747. The reversal of 822116736 is 637611228.

It is a super-2 number, since 2×822116736² = 1351751855222587392, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 822116736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410265 + ... + 412263.

It is an arithmetic number, because the mean of its divisors is an integer number (11475000).

Almost surely, 2^822116736 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 822116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468800000).

822116736 is an abundant number, since it is smaller than the sum of its proper divisors (2115483264).

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

822116736 is a wasteful number, since it uses less digits than its factorization.

822116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2028 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 822116736 is about 28672.5781191716. The cubic root of 822116736 is about 936.7948540735.

The spelling of 822116736 in words is "eight hundred twenty-two million, one hundred sixteen thousand, seven hundred thirty-six".