830456768 has 56 divisors (see below), whose sum is σ = 1775155200. Its totient is φ = 384341760.

The previous prime is 830456747. The next prime is 830456773. The reversal of 830456768 is 867654038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36533 + ... + 54731.

It is an arithmetic number, because the mean of its divisors is an integer number (31699200).

Almost surely, 2^830456768 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 830456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887577600).

830456768 is an abundant number, since it is smaller than the sum of its proper divisors (944698432).

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

830456768 is a wasteful number, since it uses less digits than its factorization.

830456768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18265 (or 18255 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 830456768 is about 28817.6468157967. The cubic root of 830456768 is about 939.9519999633.

The spelling of 830456768 in words is "eight hundred thirty million, four hundred fifty-six thousand, seven hundred sixty-eight".