824008805820 has 192 divisors, whose sum is σ = 2678953697280. Its totient is φ = 212647083840.

The previous prime is 824008805803. The next prime is 824008805843. The reversal of 824008805820 is 28508800428.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1052089 + ... + 1659791.

It is an arithmetic number, because the mean of its divisors is an integer number (13952883840).

Almost surely, 2^824008805820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824008805820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339476848640).

824008805820 is an abundant number, since it is smaller than the sum of its proper divisors (1854944891460).

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

824008805820 is a wasteful number, since it uses less digits than its factorization.

824008805820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607764 (or 607744 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 824008805820 in words is "eight hundred twenty-four billion, eight million, eight hundred five thousand, eight hundred twenty".