820085280 has 192 divisors, whose sum is σ = 3024822528. Its totient is φ = 182845440.

The previous prime is 820085267. The next prime is 820085317. The reversal of 820085280 is 82580028.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134784 + ... + 140736.

It is an arithmetic number, because the mean of its divisors is an integer number (15754284).

Almost surely, 2^820085280 is an apocalyptic number.

820085280 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 820085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512411264).

820085280 is an abundant number, since it is smaller than the sum of its proper divisors (2204737248).

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

820085280 is a wasteful number, since it uses less digits than its factorization.

820085280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 820085280 is about 28637.1311412299. The cubic root of 820085280 is about 936.0226088483.

The spelling of 820085280 in words is "eight hundred twenty million, eighty-five thousand, two hundred eighty".