842793336 has 480 divisors, whose sum is σ = 3178137600. Its totient is φ = 205752960.

The previous prime is 842793323. The next prime is 842793337. The reversal of 842793336 is 633397248.

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

Its product of digits (653184) is a multiple of the sum of its prime factors (189).

It is a junction number, because it is equal to n+sod(n) for n = 842793291 and 842793300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842793337) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6636105 + ... + 6636231.

It is an arithmetic number, because the mean of its divisors is an integer number (6621120).

Almost surely, 2^842793336 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 842793336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589068800).

842793336 is an abundant number, since it is smaller than the sum of its proper divisors (2335344264).

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

842793336 is a wasteful number, since it uses less digits than its factorization.

842793336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 842793336 is about 29030.9031206403. The cubic root of 842793336 is about 944.5835201799.

The spelling of 842793336 in words is "eight hundred forty-two million, seven hundred ninety-three thousand, three hundred thirty-six".