822350880 has 288 divisors, whose sum is σ = 3135996864. Its totient is φ = 202300416.

The previous prime is 822350861. The next prime is 822350929. The reversal of 822350880 is 88053228.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504627 + ... + 506253.

It is an arithmetic number, because the mean of its divisors is an integer number (10888878).

Almost surely, 2^822350880 is an apocalyptic number.

822350880 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 822350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567998432).

822350880 is an abundant number, since it is smaller than the sum of its proper divisors (2313645984).

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

822350880 is a wasteful number, since it uses less digits than its factorization.

822350880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 822350880 is about 28676.6608934862. The cubic root of 822350880 is about 936.8837806474.

The spelling of 822350880 in words is "eight hundred twenty-two million, three hundred fifty thousand, eight hundred eighty".