834072120 has 192 divisors, whose sum is σ = 3234362400. Its totient is φ = 190632960.

The previous prime is 834072101. The next prime is 834072131. The reversal of 834072120 is 21270438.

It is a super-2 number, since 2×834072120² = 1391352602722588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45040 + ... + 60800.

Almost surely, 2^834072120 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 834072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617181200).

834072120 is an abundant number, since it is smaller than the sum of its proper divisors (2400290280).

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

834072120 is a wasteful number, since it uses less digits than its factorization.

834072120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15795 (or 15778 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 834072120 is about 28880.3067850742. The cubic root of 834072120 is about 941.3140366902.

The spelling of 834072120 in words is "eight hundred thirty-four million, seventy-two thousand, one hundred twenty".