830087100 has 108 divisors (see below), whose sum is σ = 2609650680. Its totient is φ = 220694400.

The previous prime is 830087099. The next prime is 830087123. The reversal of 830087100 is 1780038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348915 + ... + 351285.

Almost surely, 2^830087100 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 830087100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304825340).

830087100 is an abundant number, since it is smaller than the sum of its proper divisors (1779563580).

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

830087100 is a wasteful number, since it uses less digits than its factorization.

830087100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 830087100 is about 28811.2321846880. The cubic root of 830087100 is about 939.8125097617.

The spelling of 830087100 in words is "eight hundred thirty million, eighty-seven thousand, one hundred".