830608500 has 96 divisors (see below), whose sum is σ = 2434828032. Its totient is φ = 220022400.

The previous prime is 830608489. The next prime is 830608501. The reversal of 830608500 is 5806038.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830608501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 233737 + ... + 237263.

It is an arithmetic number, because the mean of its divisors is an integer number (25362792).

Almost surely, 2^830608500 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 830608500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217414016).

830608500 is an abundant number, since it is smaller than the sum of its proper divisors (1604219532).

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

830608500 is a wasteful number, since it uses less digits than its factorization.

830608500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 830608500 is about 28820.2793185632. The cubic root of 830608500 is about 940.0092424020.

The spelling of 830608500 in words is "eight hundred thirty million, six hundred eight thousand, five hundred".