823047520 has 192 divisors, whose sum is σ = 2184247296. Its totient is φ = 291594240.

The previous prime is 823047509. The next prime is 823047523. The reversal of 823047520 is 25740328.

823047520 = T₃₇₆ + T₃₇₇ + ... + T₁₇₀₈.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823047523) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3625647 + ... + 3625873.

It is an arithmetic number, because the mean of its divisors is an integer number (11376288).

Almost surely, 2^823047520 is an apocalyptic number.

823047520 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 823047520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092123648).

823047520 is an abundant number, since it is smaller than the sum of its proper divisors (1361199776).

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

823047520 is a wasteful number, since it uses less digits than its factorization.

823047520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 823047520 is about 28688.8047851422. The cubic root of 823047520 is about 937.1482608184.

Adding to 823047520 its reverse (25740328), we get a palindrome (848787848).

The spelling of 823047520 in words is "eight hundred twenty-three million, forty-seven thousand, five hundred twenty".