822797280 has 576 divisors, whose sum is σ = 3290414400. Its totient is φ = 185794560.

The previous prime is 822797273. The next prime is 822797293. The reversal of 822797280 is 82797228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 13488450 + ... + 13488510.

It is an arithmetic number, because the mean of its divisors is an integer number (5712525).

Almost surely, 2^822797280 is an apocalyptic number.

822797280 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 822797280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645207200).

822797280 is an abundant number, since it is smaller than the sum of its proper divisors (2467617120).

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

822797280 is a wasteful number, since it uses less digits than its factorization.

822797280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 822797280 is about 28684.4431704713. The cubic root of 822797280 is about 937.0532740988.

The spelling of 822797280 in words is "eight hundred twenty-two million, seven hundred ninety-seven thousand, two hundred eighty".