823322304 has 252 divisors, whose sum is σ = 2836761408. Its totient is φ = 227404800.

The previous prime is 823322281. The next prime is 823322327. The reversal of 823322304 is 403223328.

It is an interprime number because it is at equal distance from previous prime (823322281) and next prime (823322327).

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874474 + ... + 875414.

Almost surely, 2^823322304 is an apocalyptic number.

823322304 is a gapful number since it is divisible by the number (84) 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 823322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418380704).

823322304 is an abundant number, since it is smaller than the sum of its proper divisors (2013439104).

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

823322304 is a wasteful number, since it uses less digits than its factorization.

823322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 823322304 is about 28693.5934312871. The cubic root of 823322304 is about 937.2525418345.

The spelling of 823322304 in words is "eight hundred twenty-three million, three hundred twenty-two thousand, three hundred four".