823156320 has 192 divisors, whose sum is σ = 3137895936. Its totient is φ = 177070080.

The previous prime is 823156319. The next prime is 823156349. The reversal of 823156320 is 23651328.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49915 + ... + 64325.

It is an arithmetic number, because the mean of its divisors is an integer number (16343208).

Almost surely, 2^823156320 is an apocalyptic number.

823156320 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 823156320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568947968).

823156320 is an abundant number, since it is smaller than the sum of its proper divisors (2314739616).

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

823156320 is a wasteful number, since it uses less digits than its factorization.

823156320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14453 (or 14445 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 823156320 is about 28690.7009325321. The cubic root of 823156320 is about 937.1895533869.

The spelling of 823156320 in words is "eight hundred twenty-three million, one hundred fifty-six thousand, three hundred twenty".