823942800 has 480 divisors, whose sum is σ = 3188367360. Its totient is φ = 201484800.

The previous prime is 823942793. The next prime is 823942813. The reversal of 823942800 is 8249328.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7700347 + ... + 7700453.

It is an arithmetic number, because the mean of its divisors is an integer number (6642432).

Almost surely, 2^823942800 is an apocalyptic number.

823942800 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 823942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594183680).

823942800 is an abundant number, since it is smaller than the sum of its proper divisors (2364424560).

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

823942800 is a wasteful number, since it uses less digits than its factorization.

823942800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 823942800 is about 28704.4038433130. The cubic root of 823942800 is about 937.4879358448.

The spelling of 823942800 in words is "eight hundred twenty-three million, nine hundred forty-two thousand, eight hundred".