830347200 has 420 divisors, whose sum is σ = 3144088200. Its totient is φ = 214824960.

The previous prime is 830347171. The next prime is 830347247. The reversal of 830347200 is 2743038.

830347200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5572726 + ... + 5572874.

Almost surely, 2^830347200 is an apocalyptic number.

830347200 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 830347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572044100).

830347200 is an abundant number, since it is smaller than the sum of its proper divisors (2313741000).

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

830347200 is a wasteful number, since it uses less digits than its factorization.

830347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 830347200 is about 28815.7456957130. The cubic root of 830347200 is about 939.9106599866.

The spelling of 830347200 in words is "eight hundred thirty million, three hundred forty-seven thousand, two hundred".