820912320 has 504 divisors, whose sum is σ = 3239499744. Its totient is φ = 197074944.

The previous prime is 820912307. The next prime is 820912327. The reversal of 820912320 is 23219028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (820912327) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 35691829 + ... + 35691851.

Almost surely, 2^820912320 is an apocalyptic number.

820912320 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 820912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619749872).

820912320 is an abundant number, since it is smaller than the sum of its proper divisors (2418587424).

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

820912320 is an equidigital number, since it uses as much as digits as its factorization.

820912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 820912320 is about 28651.5674963867. The cubic root of 820912320 is about 936.3371566447.

The spelling of 820912320 in words is "eight hundred twenty million, nine hundred twelve thousand, three hundred twenty".