834413200 has 60 divisors (see below), whose sum is σ = 2015044020. Its totient is φ = 332039680.

The previous prime is 834413189. The next prime is 834413207. The reversal of 834413200 is 2314438.

It can be written as a sum of positive squares in 6 ways, for example, as 589824 + 833823376 = 768^2 + 28876^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (834413207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73506 + ... + 84094.

It is an arithmetic number, because the mean of its divisors is an integer number (33584067).

Almost surely, 2^834413200 is an apocalyptic number.

834413200 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 834413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007522010).

834413200 is an abundant number, since it is smaller than the sum of its proper divisors (1180630820).

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

834413200 is a wasteful number, since it uses less digits than its factorization.

834413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 834413200 is about 28886.2112434289. The cubic root of 834413200 is about 941.4423308067.

Adding to 834413200 its reverse (2314438), we get a palindrome (836727638).

The spelling of 834413200 in words is "eight hundred thirty-four million, four hundred thirteen thousand, two hundred".