830289890304 has 528 divisors, whose sum is σ = 2877441894912. Its totient is φ = 225453735936.

The previous prime is 830289890293. The next prime is 830289890321. The reversal of 830289890304 is 403098982038.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241853772 + ... + 241857204.

Almost surely, 2^830289890304 is an apocalyptic number.

830289890304 is a gapful number since it is divisible by the number (84) 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 830289890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438720947456).

830289890304 is an abundant number, since it is smaller than the sum of its proper divisors (2047152004608).

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

830289890304 is a wasteful number, since it uses less digits than its factorization.

830289890304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 830289890304 in words is "eight hundred thirty billion, two hundred eighty-nine million, eight hundred ninety thousand, three hundred four".