834796800 has 216 divisors, whose sum is σ = 3061748480. Its totient is φ = 222566400.

The previous prime is 834796763. The next prime is 834796811. The reversal of 834796800 is 8697438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 170385 + ... + 175215.

Almost surely, 2^834796800 is an apocalyptic number.

834796800 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 834796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530874240).

834796800 is an abundant number, since it is smaller than the sum of its proper divisors (2226951680).

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

834796800 is a wasteful number, since it uses less digits than its factorization.

834796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 834796800 is about 28892.8503266812. The cubic root of 834796800 is about 941.5865766675.

The spelling of 834796800 in words is "eight hundred thirty-four million, seven hundred ninety-six thousand, eight hundred".