830288800 has 72 divisors (see below), whose sum is σ = 2211233472. Its totient is φ = 301920000.

The previous prime is 830288791. The next prime is 830288801. The reversal of 830288800 is 8882038.

830288800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 830288800.

It is not an unprimeable number, because it can be changed into a prime (830288801) 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, 38376 + ... + 55975.

It is an arithmetic number, because the mean of its divisors is an integer number (30711576).

Almost surely, 2^830288800 is an apocalyptic number.

830288800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

830288800 is an abundant number, since it is smaller than the sum of its proper divisors (1380944672).

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

830288800 is a wasteful number, since it uses less digits than its factorization.

830288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94382 (or 94369 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 830288800 is about 28814.7323430220. The cubic root of 830288800 is about 939.8886241967. Note that the first 3 decimals are identical.

The spelling of 830288800 in words is "eight hundred thirty million, two hundred eighty-eight thousand, eight hundred".