834378120 has 144 divisors (see below), whose sum is σ = 2788645860. Its totient is φ = 216359424.

The previous prime is 834378109. The next prime is 834378137. The reversal of 834378120 is 21873438.

834378120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 669049956 + 165328164 = 25866^2 + 12858^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 491994 + ... + 493686.

Almost surely, 2^834378120 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 834378120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394322930).

834378120 is an abundant number, since it is smaller than the sum of its proper divisors (1954267740).

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

834378120 is a wasteful number, since it uses less digits than its factorization.

834378120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 834378120 is about 28885.6040269197. The cubic root of 834378120 is about 941.4291373993.

The spelling of 834378120 in words is "eight hundred thirty-four million, three hundred seventy-eight thousand, one hundred twenty".