830759328 has 360 divisors, whose sum is σ = 2947722624. Its totient is φ = 228614400.

The previous prime is 830759311. The next prime is 830759393. The reversal of 830759328 is 823957038.

830759328 is a `hidden beast` number, since 8 + 30 + 7 + 593 + 28 = 666.

It is a super-2 number, since 2×830759328² = 1380322122118023168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3937143 + ... + 3937353.

Almost surely, 2^830759328 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 830759328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473861312).

830759328 is an abundant number, since it is smaller than the sum of its proper divisors (2116963296).

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

830759328 is a wasteful number, since it uses less digits than its factorization.

830759328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 830759328 is about 28822.8958989204. The cubic root of 830759328 is about 940.0661368888.

The spelling of 830759328 in words is "eight hundred thirty million, seven hundred fifty-nine thousand, three hundred twenty-eight".