820324933120 has 1280 divisors, whose sum is σ = 2749195468800. Its totient is φ = 226952478720.

The previous prime is 820324933091. The next prime is 820324933151. The reversal of 820324933120 is 21339423028.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 820324933120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7666588107 + ... + 7666588213.

It is an arithmetic number, because the mean of its divisors is an integer number (2147808960).

Almost surely, 2^820324933120 is an apocalyptic number.

820324933120 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 820324933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374597734400).

820324933120 is an abundant number, since it is smaller than the sum of its proper divisors (1928870535680).

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

820324933120 is a wasteful number, since it uses less digits than its factorization.

820324933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 820324933120 in words is "eight hundred twenty billion, three hundred twenty-four million, nine hundred thirty-three thousand, one hundred twenty".