820382784 has 168 divisors, whose sum is σ = 2380622112. Its totient is φ = 249200640.

The previous prime is 820382747. The next prime is 820382861. The reversal of 820382784 is 487283028.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4250592 + ... + 4250784.

Almost surely, 2^820382784 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 820382784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190311056).

820382784 is an abundant number, since it is smaller than the sum of its proper divisors (1560239328).

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

820382784 is a wasteful number, since it uses less digits than its factorization.

820382784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 820382784 is about 28642.3250452892. The cubic root of 820382784 is about 936.1357827706.

The spelling of 820382784 in words is "eight hundred twenty million, three hundred eighty-two thousand, seven hundred eighty-four".