820803365280 has 960 divisors, whose sum is σ = 3181169376000. Its totient is φ = 198512197632.

The previous prime is 820803365273. The next prime is 820803365321. The reversal of 820803365280 is 82563308028.

820803365280 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 0 + 3 + 365 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 978311101 + ... + 978311939.

It is an arithmetic number, because the mean of its divisors is an integer number (3313718100).

Almost surely, 2^820803365280 is an apocalyptic number.

820803365280 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 820803365280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590584688000).

820803365280 is an abundant number, since it is smaller than the sum of its proper divisors (2360366010720).

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

820803365280 is a wasteful number, since it uses less digits than its factorization.

820803365280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 820803365280 in words is "eight hundred twenty billion, eight hundred three million, three hundred sixty-five thousand, two hundred eighty".