834082704 has 320 divisors, whose sum is σ = 3013696000. Its totient is φ = 219469824.

The previous prime is 834082703. The next prime is 834082709. The reversal of 834082704 is 407280438.

834082704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×834082704² = 1391387914223903232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (834082703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926072 + ... + 1926504.

It is an arithmetic number, because the mean of its divisors is an integer number (9417800).

Almost surely, 2^834082704 is an apocalyptic number.

834082704 is a gapful number since it is divisible by the number (84) 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 834082704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506848000).

834082704 is an abundant number, since it is smaller than the sum of its proper divisors (2179613296).

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

834082704 is a wasteful number, since it uses less digits than its factorization.

834082704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 834082704 is about 28880.4900235436. The cubic root of 834082704 is about 941.3180182906.

The spelling of 834082704 in words is "eight hundred thirty-four million, eighty-two thousand, seven hundred four".