830896800 has 72 divisors (see below), whose sum is σ = 2704576896. Its totient is φ = 221571840.

The previous prime is 830896769. The next prime is 830896841. The reversal of 830896800 is 8698038.

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 11 ways as a sum of consecutive naturals, for example, 170704 + ... + 175503.

It is an arithmetic number, because the mean of its divisors is an integer number (37563568).

Almost surely, 2^830896800 is an apocalyptic number.

830896800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830896800 is an abundant number, since it is smaller than the sum of its proper divisors (1873680096).

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

830896800 is a wasteful number, since it uses less digits than its factorization.

830896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346230 (or 346217 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 830896800 is about 28825.2805710543. The cubic root of 830896800 is about 940.1179873024.

The spelling of 830896800 in words is "eight hundred thirty million, eight hundred ninety-six thousand, eight hundred".