830938500 has 288 divisors, whose sum is σ = 3109946112. Its totient is φ = 189734400.

The previous prime is 830938499. The next prime is 830938517. The reversal of 830938500 is 5839038.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 850012 + ... + 850988.

It is an arithmetic number, because the mean of its divisors is an integer number (10798424).

Almost surely, 2^830938500 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 830938500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554973056).

830938500 is an abundant number, since it is smaller than the sum of its proper divisors (2279007612).

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

830938500 is a wasteful number, since it uses less digits than its factorization.

830938500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 830938500 is about 28826.0038853810. The cubic root of 830938500 is about 940.1337141910.

The spelling of 830938500 in words is "eight hundred thirty million, nine hundred thirty-eight thousand, five hundred".