823779072 has 90 divisors (see below), whose sum is σ = 2456421968. Its totient is φ = 274586112.

The previous prime is 823779043. The next prime is 823779083. The reversal of 823779072 is 270977328.

It is a super-2 number, since 2×823779072² = 1357223918930362368, which contains 22 as substring.

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 9 ways as a sum of consecutive naturals, for example, 873 + ... + 40599.

Almost surely, 2^823779072 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 823779072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228210984).

823779072 is an abundant number, since it is smaller than the sum of its proper divisors (1632642896).

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

823779072 is an equidigital number, since it uses as much as digits as its factorization.

823779072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39755 (or 39732 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 823779072 is about 28701.5517350543. The cubic root of 823779072 is about 937.4258347730.

The spelling of 823779072 in words is "eight hundred twenty-three million, seven hundred seventy-nine thousand, seventy-two".