823768 has 48 divisors (see below), whose sum is σ = 1819440. Its totient is φ = 348480.

The previous prime is 823759. The next prime is 823777. The reversal of 823768 is 867328.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (823759) and next prime (823777).

It is a super-3 number, since 3×823768³ = 1677011369233322496, which contains 333 as substring.

It is a d-powerful number, because it can be written as 8² + 2⁶ + 7⁷ + 3³ + 6 + 8² .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22246 + ... + 22282.

It is an arithmetic number, because the mean of its divisors is an integer number (37905).

2⁸²³⁷⁶⁸ is an apocalyptic number.

823768 is a gapful number since it is divisible by the number (88) 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 823768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909720).

823768 is an abundant number, since it is smaller than the sum of its proper divisors (995672).

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

823768 is a wasteful number, since it uses less digits than its factorization.

823768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 823768 is about 907.6166591684. The cubic root of 823768 is about 93.7421634931.

The spelling of 823768 in words is "eight hundred twenty-three thousand, seven hundred sixty-eight".