830713000 has 64 divisors (see below), whose sum is σ = 2093429520. Its totient is φ = 306720000.

The previous prime is 830712997. The next prime is 830713031. The reversal of 830713000 is 317038.

It can be written as a sum of positive squares in 8 ways, for example, as 54199044 + 776513956 = 7362^2 + 27866^2 .

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 15 ways as a sum of consecutive naturals, for example, 18951 + ... + 44950.

Almost surely, 2^830713000 is an apocalyptic number.

It is an amenable number.

830713000 is an abundant number, since it is smaller than the sum of its proper divisors (1262716520).

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

830713000 is a wasteful number, since it uses less digits than its factorization.

830713000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63935 (or 63921 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 830713000 is about 28822.0922210724. The cubic root of 830713000 is about 940.0486620349.

The spelling of 830713000 in words is "eight hundred thirty million, seven hundred thirteen thousand".