830807472 has 240 divisors, whose sum is σ = 2568907008. Its totient is φ = 228856320.

The previous prime is 830807447. The next prime is 830807513. The reversal of 830807472 is 274708038.

It is a self number, because there is not a number n which added to its sum of digits gives 830807472.

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 47 ways as a sum of consecutive naturals, for example, 19321083 + ... + 19321125.

Almost surely, 2^830807472 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 830807472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284453504).

830807472 is an abundant number, since it is smaller than the sum of its proper divisors (1738099536).

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

830807472 is a wasteful number, since it uses less digits than its factorization.

830807472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 830807472 is about 28823.7310561974. The cubic root of 830807472 is about 940.0842960468.

The spelling of 830807472 in words is "eight hundred thirty million, eight hundred seven thousand, four hundred seventy-two".