823076352 has 480 divisors, whose sum is σ = 3064089600. Its totient is φ = 207028224.

The previous prime is 823076329. The next prime is 823076357. The reversal of 823076352 is 253670328.

823076352 is a `hidden beast` number, since 8 + 230 + 76 + 352 = 666.

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 (823076357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10418649 + ... + 10418727.

It is an arithmetic number, because the mean of its divisors is an integer number (6383520).

Almost surely, 2^823076352 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 823076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532044800).

823076352 is an abundant number, since it is smaller than the sum of its proper divisors (2241013248).

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

823076352 is a wasteful number, since it uses less digits than its factorization.

823076352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 823076352 is about 28689.3072764053. The cubic root of 823076352 is about 937.1592037034.

The spelling of 823076352 in words is "eight hundred twenty-three million, seventy-six thousand, three hundred fifty-two".