823772424 has 64 divisors (see below), whose sum is σ = 2130186240. Its totient is φ = 265193280.

The previous prime is 823772413. The next prime is 823772471. The reversal of 823772424 is 424277328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540127 + ... + 541649.

It is an arithmetic number, because the mean of its divisors is an integer number (33284160).

Almost surely, 2^823772424 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 823772424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065093120).

823772424 is an abundant number, since it is smaller than the sum of its proper divisors (1306413816).

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

823772424 is a wasteful number, since it uses less digits than its factorization.

823772424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2286 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 823772424 is about 28701.4359222670. The cubic root of 823772424 is about 937.4233130517.

The spelling of 823772424 in words is "eight hundred twenty-three million, seven hundred seventy-two thousand, four hundred twenty-four".