820069792 has 48 divisors (see below), whose sum is σ = 1728367200. Its totient is φ = 381853440.

The previous prime is 820069709. The next prime is 820069819. The reversal of 820069792 is 297960028.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24442 + ... + 47302.

It is an arithmetic number, because the mean of its divisors is an integer number (36007650).

Almost surely, 2^820069792 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 820069792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864183600).

820069792 is an abundant number, since it is smaller than the sum of its proper divisors (908297408).

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

820069792 is a wasteful number, since it uses less digits than its factorization.

820069792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22949 (or 22941 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 820069792 is about 28636.8607218040. The cubic root of 820069792 is about 936.0167162866.

The spelling of 820069792 in words is "eight hundred twenty million, sixty-nine thousand, seven hundred ninety-two".