830195712 has 144 divisors (see below), whose sum is σ = 2434543020. Its totient is φ = 272498688.

The previous prime is 830195693. The next prime is 830195713. The reversal of 830195712 is 217591038.

830195712 is a `hidden beast` number, since 83 + 0 + 1 + 9 + 571 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 769729536 + 60466176 = 27744^2 + 7776^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (830195713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1345228 + ... + 1345844.

Almost surely, 2^830195712 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 830195712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217271510).

830195712 is an abundant number, since it is smaller than the sum of its proper divisors (1604347308).

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

830195712 is a wasteful number, since it uses less digits than its factorization.

830195712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 830195712 is about 28813.1170129162. The cubic root of 830195712 is about 939.8534976149.

The spelling of 830195712 in words is "eight hundred thirty million, one hundred ninety-five thousand, seven hundred twelve".