842784768 has 336 divisors, whose sum is σ = 2944221696. Its totient is φ = 227082240.

The previous prime is 842784763. The next prime is 842784793. The reversal of 842784768 is 867487248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842784763) 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 23 ways as a sum of consecutive naturals, for example, 11870173 + ... + 11870243.

Almost surely, 2^842784768 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 842784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472110848).

842784768 is an abundant number, since it is smaller than the sum of its proper divisors (2101436928).

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

842784768 is a wasteful number, since it uses less digits than its factorization.

842784768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 842784768 is about 29030.7555533782. The cubic root of 842784768 is about 944.5803192295.

The spelling of 842784768 in words is "eight hundred forty-two million, seven hundred eighty-four thousand, seven hundred sixty-eight".