830677100 has 108 divisors (see below), whose sum is σ = 2008105848. Its totient is φ = 298240800.

The previous prime is 830677091. The next prime is 830677163. The reversal of 830677100 is 1776038.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10514861 + ... + 10514939.

Almost surely, 2^830677100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830677100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004052924).

830677100 is an abundant number, since it is smaller than the sum of its proper divisors (1177428748).

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

830677100 is a wasteful number, since it uses less digits than its factorization.

830677100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 830677100 is about 28821.4694281884. The cubic root of 830677100 is about 940.0351201606.

The spelling of 830677100 in words is "eight hundred thirty million, six hundred seventy-seven thousand, one hundred".