820769508 has 72 divisors (see below), whose sum is σ = 2256141888. Its totient is φ = 250077888.

The previous prime is 820769491. The next prime is 820769519. The reversal of 820769508 is 805967028.

820769508 is a `hidden beast` number, since 82 + 0 + 7 + 69 + 508 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39691 + ... + 56717.

It is an arithmetic number, because the mean of its divisors is an integer number (31335304).

Almost surely, 2^820769508 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 820769508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128070944).

820769508 is an abundant number, since it is smaller than the sum of its proper divisors (1435372380).

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

820769508 is a wasteful number, since it uses less digits than its factorization.

820769508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17153 (or 17148 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 820769508 is about 28649.0751683191. The cubic root of 820769508 is about 936.2828561086.

The spelling of 820769508 in words is "eight hundred twenty million, seven hundred sixty-nine thousand, five hundred eight".