830946816 has 320 divisors, whose sum is σ = 2912194560. Its totient is φ = 228925440.

The previous prime is 830946811. The next prime is 830946827. The reversal of 830946816 is 618649038.

It is a super-2 number, since 2×830946816² = 1380945222041075712, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830946811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2999670 + ... + 2999946.

It is an arithmetic number, because the mean of its divisors is an integer number (9100608).

Almost surely, 2^830946816 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 830946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456097280).

830946816 is an abundant number, since it is smaller than the sum of its proper divisors (2081247744).

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

830946816 is a wasteful number, since it uses less digits than its factorization.

830946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 830946816 is about 28826.1481297797. The cubic root of 830946816 is about 940.1368504543.

The spelling of 830946816 in words is "eight hundred thirty million, nine hundred forty-six thousand, eight hundred sixteen".