834900000 has 432 divisors, whose sum is σ = 3141923904. Its totient is φ = 193600000.

The previous prime is 834899999. The next prime is 834900019. The reversal of 834900000 is 9438.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36299989 + ... + 36300011.

It is an arithmetic number, because the mean of its divisors is an integer number (7272972).

Almost surely, 2^834900000 is an apocalyptic number.

834900000 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 834900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570961952).

834900000 is an abundant number, since it is smaller than the sum of its proper divisors (2307023904).

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

834900000 is a wasteful number, since it uses less digits than its factorization.

834900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 834900000 is about 28894.6361804401. The cubic root of 834900000 is about 941.6253756227.

Adding to 834900000 its reverse (9438), we get a palindrome (834909438).

The spelling of 834900000 in words is "eight hundred thirty-four million, nine hundred thousand".