820323000 has 384 divisors, whose sum is σ = 3285360000. Its totient is φ = 180633600.

The previous prime is 820322989. The next prime is 820323001. The reversal of 820323000 is 323028.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820323001) by changing a digit.

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, 1826776 + ... + 1827224.

It is an arithmetic number, because the mean of its divisors is an integer number (8555625).

Almost surely, 2^820323000 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 820323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642680000).

820323000 is an abundant number, since it is smaller than the sum of its proper divisors (2465037000).

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

820323000 is a wasteful number, since it uses less digits than its factorization.

820323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 820323000 is about 28641.2813959152. The cubic root of 820323000 is about 936.1130424505.

Adding to 820323000 its reverse (323028), we get a palindrome (820646028).

The spelling of 820323000 in words is "eight hundred twenty million, three hundred twenty-three thousand".