830558100 has 72 divisors (see below), whose sum is σ = 2407568128. Its totient is φ = 221068800.

The previous prime is 830558093. The next prime is 830558111. The reversal of 830558100 is 1855038.

It is a happy number.

It is a super-2 number, since 2×830558100² = 1379653514951220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179820 + ... + 184380.

Almost surely, 2^830558100 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 830558100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203784064).

830558100 is an abundant number, since it is smaller than the sum of its proper divisors (1577010028).

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

830558100 is a wasteful number, since it uses less digits than its factorization.

830558100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 830558100 is about 28819.4049209903. The cubic root of 830558100 is about 939.9902292632.

The spelling of 830558100 in words is "eight hundred thirty million, five hundred fifty-eight thousand, one hundred".