830085200 has 120 divisors (see below), whose sum is σ = 2305477440. Its totient is φ = 281318400.

The previous prime is 830085173. The next prime is 830085293. The reversal of 830085200 is 2580038.

It is a self number, because there is not a number n which added to its sum of digits gives 830085200.

It is a congruent number.

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, 247535 + ... + 250865.

It is an arithmetic number, because the mean of its divisors is an integer number (19212312).

Almost surely, 2^830085200 is an apocalyptic number.

830085200 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 830085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152738720).

830085200 is an abundant number, since it is smaller than the sum of its proper divisors (1475392240).

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

830085200 is a wasteful number, since it uses less digits than its factorization.

830085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 830085200 is about 28811.1992114178. The cubic root of 830085200 is about 939.8117927104.

The spelling of 830085200 in words is "eight hundred thirty million, eighty-five thousand, two hundred".