834128000 has 128 divisors (see below), whose sum is σ = 2131412400. Its totient is φ = 324403200.

The previous prime is 834127997. The next prime is 834128011. The reversal of 834128000 is 821438.

It can be written as a sum of positive squares in 8 ways, for example, as 4227136 + 829900864 = 2056^2 + 28808^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591296 + ... + 592704.

Almost surely, 2^834128000 is an apocalyptic number.

834128000 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 834128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065706200).

834128000 is an abundant number, since it is smaller than the sum of its proper divisors (1297284400).

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

834128000 is a wasteful number, since it uses less digits than its factorization.

834128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 834128000 is about 28881.2742101175. The cubic root of 834128000 is about 941.3350578355.

Adding to 834128000 its reverse (821438), we get a palindrome (834949438).

The spelling of 834128000 in words is "eight hundred thirty-four million, one hundred twenty-eight thousand".