834709920 has 192 divisors, whose sum is σ = 2890339200. Its totient is φ = 200806400.

The previous prime is 834709847. The next prime is 834709927. The reversal of 834709920 is 29907438.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (834709927) 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 31 ways as a sum of consecutive naturals, for example, 786190 + ... + 787250.

It is an arithmetic number, because the mean of its divisors is an integer number (15053850).

Almost surely, 2^834709920 is an apocalyptic number.

834709920 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 834709920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445169600).

834709920 is an abundant number, since it is smaller than the sum of its proper divisors (2055629280).

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

834709920 is a wasteful number, since it uses less digits than its factorization.

834709920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 834709920 is about 28891.3468014214. The cubic root of 834709920 is about 941.5539108819.

The spelling of 834709920 in words is "eight hundred thirty-four million, seven hundred nine thousand, nine hundred twenty".