822387793920 has 896 divisors, whose sum is σ = 3424356311040. Its totient is φ = 163412705280.

The previous prime is 822387793901. The next prime is 822387793949. The reversal of 822387793920 is 29397783228.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217618591 + ... + 217622369.

It is an arithmetic number, because the mean of its divisors is an integer number (3821826240).

Almost surely, 2^822387793920 is an apocalyptic number.

822387793920 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 822387793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712178155520).

822387793920 is an abundant number, since it is smaller than the sum of its proper divisors (2601968517120).

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

822387793920 is a wasteful number, since it uses less digits than its factorization.

822387793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 822387793920 in words is "eight hundred twenty-two billion, three hundred eighty-seven million, seven hundred ninety-three thousand, nine hundred twenty".