823012800 has 168 divisors, whose sum is σ = 2787773952. Its totient is φ = 212352000.

The previous prime is 823012777. The next prime is 823012829. The reversal of 823012800 is 8210328.

It is a super-3 number, since 3×823012800³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146035 + ... + 151565.

Almost surely, 2^823012800 is an apocalyptic number.

823012800 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 823012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393886976).

823012800 is an abundant number, since it is smaller than the sum of its proper divisors (1964761152).

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

823012800 is a wasteful number, since it uses less digits than its factorization.

823012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 823012800 is about 28688.1996646705. The cubic root of 823012800 is about 937.1350828652.

The spelling of 823012800 in words is "eight hundred twenty-three million, twelve thousand, eight hundred".