830059315200 has 456 divisors, whose sum is σ = 3050343708960. Its totient is φ = 221301964800.

The previous prime is 830059315157. The next prime is 830059315213. The reversal of 830059315200 is 2513950038.

830059315200 is a `hidden beast` number, since 8 + 30 + 0 + 593 + 15 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176944855 + ... + 176949545.

Almost surely, 2^830059315200 is an apocalyptic number.

830059315200 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 830059315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525171854480).

830059315200 is an abundant number, since it is smaller than the sum of its proper divisors (2220284393760).

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

830059315200 is an frugal number, since it uses more digits than its factorization.

830059315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 830059315200 in words is "eight hundred thirty billion, fifty-nine million, three hundred fifteen thousand, two hundred".