823552000 has 96 divisors (see below), whose sum is σ = 2055722760. Its totient is φ = 329318400.

The previous prime is 823551973. The next prime is 823552021. The reversal of 823552000 is 255328.

It can be written as a sum of positive squares in 4 ways, for example, as 428655616 + 394896384 = 20704^2 + 19872^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254392 + ... + 257608.

Almost surely, 2^823552000 is an apocalyptic number.

823552000 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 823552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027861380).

823552000 is an abundant number, since it is smaller than the sum of its proper divisors (1232170760).

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

823552000 is an equidigital number, since it uses as much as digits as its factorization.

823552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 823552000 is about 28697.5957181085. The cubic root of 823552000 is about 937.3396940719.

The spelling of 823552000 in words is "eight hundred twenty-three million, five hundred fifty-two thousand".