830943360 has 448 divisors, whose sum is σ = 3230864280. Its totient is φ = 203046912.

The previous prime is 830943343. The next prime is 830943383. The reversal of 830943360 is 63349038.

It can be written as a sum of positive squares in 4 ways, for example, as 554319936 + 276623424 = 23544^2 + 16632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6065212 + ... + 6065348.

Almost surely, 2^830943360 is an apocalyptic number.

830943360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615432140).

830943360 is an abundant number, since it is smaller than the sum of its proper divisors (2399920920).

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

830943360 is a wasteful number, since it uses less digits than its factorization.

830943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 830943360 is about 28826.0881841432. The cubic root of 830943360 is about 940.1355470747.

The spelling of 830943360 in words is "eight hundred thirty million, nine hundred forty-three thousand, three hundred sixty".