842656752 has 120 divisors (see below), whose sum is σ = 2746190304. Its totient is φ = 236201472.

The previous prime is 842656733. The next prime is 842656777. The reversal of 842656752 is 257656248.

842656752 is a `hidden beast` number, since 84 + 2 + 6 + 567 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 842656698 and 842656707.

It is a congruent number.

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, 45538 + ... + 61310.

Almost surely, 2^842656752 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 842656752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373095152).

842656752 is an abundant number, since it is smaller than the sum of its proper divisors (1903533552).

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

842656752 is a wasteful number, since it uses less digits than its factorization.

842656752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15838 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 842656752 is about 29028.5506355381. The cubic root of 842656752 is about 944.5324906807.

The spelling of 842656752 in words is "eight hundred forty-two million, six hundred fifty-six thousand, seven hundred fifty-two".