823200429324 has 384 divisors, whose sum is σ = 2499484925952. Its totient is φ = 205108485120.

The previous prime is 823200429319. The next prime is 823200429343. The reversal of 823200429324 is 423924002328.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192199687 + ... + 192203969.

It is an arithmetic number, because the mean of its divisors is an integer number (6509075328).

Almost surely, 2^823200429324 is an apocalyptic number.

823200429324 is a gapful number since it is divisible by the number (84) 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 823200429324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249742462976).

823200429324 is an abundant number, since it is smaller than the sum of its proper divisors (1676284496628).

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

823200429324 is a wasteful number, since it uses less digits than its factorization.

823200429324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 823200429324 in words is "eight hundred twenty-three billion, two hundred million, four hundred twenty-nine thousand, three hundred twenty-four".