820510782 has 96 divisors (see below), whose sum is σ = 2164176000. Its totient is φ = 204990912.

The previous prime is 820510781. The next prime is 820510783. The reversal of 820510782 is 287015028.

It is an interprime number because it is at equal distance from previous prime (820510781) and next prime (820510783).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820510781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66969 + ... + 78267.

It is an arithmetic number, because the mean of its divisors is an integer number (22543500).

Almost surely, 2^820510782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820510782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082088000).

820510782 is an abundant number, since it is smaller than the sum of its proper divisors (1343665218).

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

820510782 is a wasteful number, since it uses less digits than its factorization.

820510782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 820510782 is about 28644.5593787023. The cubic root of 820510782 is about 936.1844662547.

The spelling of 820510782 in words is "eight hundred twenty million, five hundred ten thousand, seven hundred eighty-two".