820232280 has 384 divisors, whose sum is σ = 3300710400. Its totient is φ = 172440576.

The previous prime is 820232249. The next prime is 820232321. The reversal of 820232280 is 82232028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1771329 + ... + 1771791.

It is an arithmetic number, because the mean of its divisors is an integer number (8595600).

Almost surely, 2^820232280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820232280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650355200).

820232280 is an abundant number, since it is smaller than the sum of its proper divisors (2480478120).

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

820232280 is a wasteful number, since it uses less digits than its factorization.

820232280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 820232280 is about 28639.6976241021. The cubic root of 820232280 is about 936.0785327489.

The spelling of 820232280 in words is "eight hundred twenty million, two hundred thirty-two thousand, two hundred eighty".