820319082 has 64 divisors (see below), whose sum is σ = 1846209024. Its totient is φ = 240805440.

The previous prime is 820319069. The next prime is 820319083. The reversal of 820319082 is 280913028.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (820319083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690493 + ... + 691679.

It is an arithmetic number, because the mean of its divisors is an integer number (28847016).

Almost surely, 2^820319082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820319082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923104512).

820319082 is an abundant number, since it is smaller than the sum of its proper divisors (1025889942).

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

820319082 is a wasteful number, since it uses less digits than its factorization.

820319082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 820319082 is about 28641.2129980558. The cubic root of 820319082 is about 936.1115521040. Note that the first 3 decimals are identical.

The spelling of 820319082 in words is "eight hundred twenty million, three hundred nineteen thousand, eighty-two".