834879922240 has 336 divisors, whose sum is σ = 2501644122432. Its totient is φ = 263047163904.

The previous prime is 834879922231. The next prime is 834879922243. The reversal of 834879922240 is 42229978438.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (834879922243) by changing a digit.

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, 46262659 + ... + 46280701.

It is an arithmetic number, because the mean of its divisors is an integer number (7445369412).

Almost surely, 2^834879922240 is an apocalyptic number.

834879922240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834879922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250822061216).

834879922240 is an abundant number, since it is smaller than the sum of its proper divisors (1666764200192).

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

834879922240 is a wasteful number, since it uses less digits than its factorization.

834879922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18314 (or 18297 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 834879922240 in words is "eight hundred thirty-four billion, eight hundred seventy-nine million, nine hundred twenty-two thousand, two hundred forty".