830883840000 has 1200 divisors, whose sum is σ = 3080750194368. Its totient is φ = 198180864000.

The previous prime is 830883839971. The next prime is 830883840011. The reversal of 830883840000 is 48388038.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 19322879979 + ... + 19322880021.

Almost surely, 2^830883840000 is an apocalyptic number.

830883840000 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 830883840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540375097184).

830883840000 is an abundant number, since it is smaller than the sum of its proper divisors (2249866354368).

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

830883840000 is an equidigital number, since it uses as much as digits as its factorization.

830883840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 830883840000 in words is "eight hundred thirty billion, eight hundred eighty-three million, eight hundred forty thousand".