823042900 has 18 divisors (see below), whose sum is σ = 1786003310. Its totient is φ = 329217120.

The previous prime is 823042889. The next prime is 823042933. The reversal of 823042900 is 9240328.

It can be written as a sum of positive squares in 3 ways, for example, as 144336196 + 678706704 = 12014^2 + 26052^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 4115115 + ... + 4115314.

Almost surely, 2^823042900 is an apocalyptic number.

It is an amenable number.

823042900 is an abundant number, since it is smaller than the sum of its proper divisors (962960410).

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

823042900 is a wasteful number, since it uses less digits than its factorization.

823042900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230443 (or 8230436 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 823042900 is about 28688.7242658157. The cubic root of 823042900 is about 937.1465073218.

The spelling of 823042900 in words is "eight hundred twenty-three million, forty-two thousand, nine hundred".