834316800 has 120 divisors (see below), whose sum is σ = 2756240256. Its totient is φ = 222474240.

The previous prime is 834316799. The next prime is 834316807. The reversal of 834316800 is 8613438.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (834316807) 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, 27537 + ... + 49263.

Almost surely, 2^834316800 is an apocalyptic number.

834316800 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 834316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378120128).

834316800 is an abundant number, since it is smaller than the sum of its proper divisors (1921923456).

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

834316800 is a wasteful number, since it uses less digits than its factorization.

834316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21758 (or 21737 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 834316800 is about 28884.5425790335. The cubic root of 834316800 is about 941.4060743748.

The spelling of 834316800 in words is "eight hundred thirty-four million, three hundred sixteen thousand, eight hundred".