830907000 has 576 divisors, whose sum is σ = 3560356800. Its totient is φ = 171072000.

The previous prime is 830906987. The next prime is 830907001. The reversal of 830907000 is 709038.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830907001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 7622946 + ... + 7623054.

It is an arithmetic number, because the mean of its divisors is an integer number (6181175).

Almost surely, 2^830907000 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 830907000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780178400).

830907000 is an abundant number, since it is smaller than the sum of its proper divisors (2729449800).

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

830907000 is a wasteful number, since it uses less digits than its factorization.

830907000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 830907000 is about 28825.4574985376. The cubic root of 830907000 is about 940.1218342158.

The spelling of 830907000 in words is "eight hundred thirty million, nine hundred seven thousand".