822042880 has 72 divisors (see below), whose sum is σ = 1974295512. Its totient is φ = 327942144.

The previous prime is 822042877. The next prime is 822042887. The reversal of 822042880 is 88240228.

822042880 = 200² + 201² + ... + 1352².

It can be written as a sum of positive squares in 4 ways, for example, as 44302336 + 777740544 = 6656^2 + 27888^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (822042887) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 712384 + ... + 713536.

It is an arithmetic number, because the mean of its divisors is an integer number (27420771).

Almost surely, 2^822042880 is an apocalyptic number.

822042880 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 822042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987147756).

822042880 is an abundant number, since it is smaller than the sum of its proper divisors (1152252632).

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

822042880 is a wasteful number, since it uses less digits than its factorization.

822042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 822042880 is about 28671.2901697848. The cubic root of 822042880 is about 936.7668004773.

The spelling of 822042880 in words is "eight hundred twenty-two million, forty-two thousand, eight hundred eighty".