830263200 has 432 divisors, whose sum is σ = 3087927360. Its totient is φ = 193290240.

The previous prime is 830263123. The next prime is 830263201. The reversal of 830263200 is 2362038.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (830263201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9328756 + ... + 9328844.

It is an arithmetic number, because the mean of its divisors is an integer number (7147980).

Almost surely, 2^830263200 is an apocalyptic number.

830263200 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 830263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543963680).

830263200 is an abundant number, since it is smaller than the sum of its proper divisors (2257664160).

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

830263200 is a wasteful number, since it uses less digits than its factorization.

830263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 830263200 is about 28814.2881223882. The cubic root of 830263200 is about 939.8789643465.

The spelling of 830263200 in words is "eight hundred thirty million, two hundred sixty-three thousand, two hundred".