823488120 has 768 divisors, whose sum is σ = 3669120000. Its totient is φ = 164602368.

The previous prime is 823488119. The next prime is 823488121. The reversal of 823488120 is 21884328.

It is a happy number.

823488120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (823488119) and next prime (823488121).

It is a super-2 number, since 2×823488120² = 1356265367562268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823488121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43341471 + ... + 43341489.

It is an arithmetic number, because the mean of its divisors is an integer number (4777500).

Almost surely, 2^823488120 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 823488120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834560000).

823488120 is an abundant number, since it is smaller than the sum of its proper divisors (2845631880).

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

823488120 is a wasteful number, since it uses less digits than its factorization.

823488120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 823488120 is about 28696.4827113010. The cubic root of 823488120 is about 937.3154580763.

The spelling of 823488120 in words is "eight hundred twenty-three million, four hundred eighty-eight thousand, one hundred twenty".