830833200 has 150 divisors (see below), whose sum is σ = 2981909964. Its totient is φ = 221546880.

The previous prime is 830833189. The next prime is 830833249. The reversal of 830833200 is 2338038.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19579 + ... + 45221.

Almost surely, 2^830833200 is an apocalyptic number.

830833200 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 830833200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490954982).

830833200 is an abundant number, since it is smaller than the sum of its proper divisors (2151076764).

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

830833200 is a wasteful number, since it uses less digits than its factorization.

830833200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25673 (or 25653 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 830833200 is about 28824.1773516609. The cubic root of 830833200 is about 940.0939999554.

The spelling of 830833200 in words is "eight hundred thirty million, eight hundred thirty-three thousand, two hundred".