822800160 has 864 divisors, whose sum is σ = 3785201280. Its totient is φ = 166053888.

The previous prime is 822800159. The next prime is 822800203. The reversal of 822800160 is 61008228.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 35773909 + ... + 35773931.

It is an arithmetic number, because the mean of its divisors is an integer number (4381020).

Almost surely, 2^822800160 is an apocalyptic number.

822800160 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 822800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892600640).

822800160 is an abundant number, since it is smaller than the sum of its proper divisors (2962401120).

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

822800160 is a wasteful number, since it uses less digits than its factorization.

822800160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 822800160 is about 28684.4933718551. The cubic root of 822800160 is about 937.0543674059.

Adding to 822800160 its reverse (61008228), we get a palindrome (883808388).

The spelling of 822800160 in words is "eight hundred twenty-two million, eight hundred thousand, one hundred sixty".