823727040 has 224 divisors, whose sum is σ = 2738810880. Its totient is φ = 209510400.

The previous prime is 823727039. The next prime is 823727057. The reversal of 823727040 is 40727328.

823727040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 823726992 and 823727010.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2648485 + ... + 2648795.

Almost surely, 2^823727040 is an apocalyptic number.

823727040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369405440).

823727040 is an abundant number, since it is smaller than the sum of its proper divisors (1915083840).

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

823727040 is a wasteful number, since it uses less digits than its factorization.

823727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 823727040 is about 28700.6452889129. The cubic root of 823727040 is about 937.4060976170.

The spelling of 823727040 in words is "eight hundred twenty-three million, seven hundred twenty-seven thousand, forty".