823307004 has 120 divisors (see below), whose sum is σ = 2357844720. Its totient is φ = 248956416.

The previous prime is 823307003. The next prime is 823307027. The reversal of 823307004 is 400703328.

823307004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823307003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246852 + ... + 250164.

It is an arithmetic number, because the mean of its divisors is an integer number (19648706).

Almost surely, 2^823307004 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 823307004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178922360).

823307004 is an abundant number, since it is smaller than the sum of its proper divisors (1534537716).

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

823307004 is a wasteful number, since it uses less digits than its factorization.

823307004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 823307004 is about 28693.3268200117. The cubic root of 823307004 is about 937.2467360674.

The spelling of 823307004 in words is "eight hundred twenty-three million, three hundred seven thousand, four".