830385675 has 168 divisors, whose sum is σ = 1847572224. Its totient is φ = 361817280.

The previous prime is 830385667. The next prime is 830385727. The reversal of 830385675 is 576583038.

830385675 is a `hidden beast` number, since 83 + 0 + 3 + 8 + 567 + 5 = 666.

It is not a de Polignac number, because 830385675 - 2³ = 830385667 is a prime.

It is a super-3 number, since 3×830385675³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 830385675.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2934084 + ... + 2934366.

Almost surely, 2^830385675 is an apocalyptic number.

830385675 is an abundant number, since it is smaller than the sum of its proper divisors (1017186549).

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

830385675 is a wasteful number, since it uses less digits than its factorization.

830385675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 830385675 is about 28816.4132917336. The cubic root of 830385675 is about 939.9251770080.

The spelling of 830385675 in words is "eight hundred thirty million, three hundred eighty-five thousand, six hundred seventy-five".