834839040 has 320 divisors, whose sum is σ = 3118300416. Its totient is φ = 186580992.

The previous prime is 834839003. The next prime is 834839053. The reversal of 834839040 is 40938438.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 834839040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2849134 + ... + 2849426.

Almost surely, 2^834839040 is an apocalyptic number.

834839040 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 834839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559150208).

834839040 is an abundant number, since it is smaller than the sum of its proper divisors (2283461376).

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

834839040 is a wasteful number, since it uses less digits than its factorization.

834839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 834839040 is about 28893.5812941214. The cubic root of 834839040 is about 941.6024575566.

The spelling of 834839040 in words is "eight hundred thirty-four million, eight hundred thirty-nine thousand, forty".