842682792 has 192 divisors, whose sum is σ = 2641170240. Its totient is φ = 222566400.

The previous prime is 842682767. The next prime is 842682803. The reversal of 842682792 is 297286248.

It is a super-2 number, since 2×842682792² = 1420228575865830528, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219167 + ... + 1219857.

It is an arithmetic number, because the mean of its divisors is an integer number (13756095).

Almost surely, 2^842682792 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 842682792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320585120).

842682792 is an abundant number, since it is smaller than the sum of its proper divisors (1798487448).

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

842682792 is a wasteful number, since it uses less digits than its factorization.

842682792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 781 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 842682792 is about 29028.9991560164. Note that the first 3 decimals coincide. The cubic root of 842682792 is about 944.5422199775.

The spelling of 842682792 in words is "eight hundred forty-two million, six hundred eighty-two thousand, seven hundred ninety-two".