823822272 has 448 divisors, whose sum is σ = 3095142400. Its totient is φ = 210263040.

The previous prime is 823822267. The next prime is 823822277. The reversal of 823822272 is 272228328.

823822272 is a `hidden beast` number, since 8 + 2 + 382 + 2 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (823822267) and next prime (823822277).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 823822272 = 156³ + 936³ = 738³ + 750³.

Its product of digits (43008) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823822277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26574897 + ... + 26574927.

It is an arithmetic number, because the mean of its divisors is an integer number (6908800).

Almost surely, 2^823822272 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 823822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547571200).

823822272 is an abundant number, since it is smaller than the sum of its proper divisors (2271320128).

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

823822272 is a wasteful number, since it uses less digits than its factorization.

823822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 56 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 823822272 is about 28702.3042977389. The cubic root of 823822272 is about 937.4422210791.

The spelling of 823822272 in words is "eight hundred twenty-three million, eight hundred twenty-two thousand, two hundred seventy-two".