834495200 has 576 divisors, whose sum is σ = 2879815680. Its totient is φ = 228096000.

The previous prime is 834495173. The next prime is 834495203. The reversal of 834495200 is 2594438.

834495200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834495203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26919185 + ... + 26919215.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^834495200 is an apocalyptic number.

834495200 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 834495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439907840).

834495200 is an abundant number, since it is smaller than the sum of its proper divisors (2045320480).

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

834495200 is a wasteful number, since it uses less digits than its factorization.

834495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 834495200 is about 28887.6305708862. The cubic root of 834495200 is about 941.4731691421.

The spelling of 834495200 in words is "eight hundred thirty-four million, four hundred ninety-five thousand, two hundred".