822650880 has 192 divisors, whose sum is σ = 2681078400. Its totient is φ = 215285760.

The previous prime is 822650863. The next prime is 822650891. The reversal of 822650880 is 88056228.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 1873701 + ... + 1874139.

It is an arithmetic number, because the mean of its divisors is an integer number (13963950).

Almost surely, 2^822650880 is an apocalyptic number.

822650880 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 822650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340539200).

822650880 is an abundant number, since it is smaller than the sum of its proper divisors (1858427520).

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

822650880 is a wasteful number, since it uses less digits than its factorization.

822650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 822650880 is about 28681.8911510381. The cubic root of 822650880 is about 936.9976942941.

The spelling of 822650880 in words is "eight hundred twenty-two million, six hundred fifty thousand, eight hundred eighty".