830668800 has 306 divisors, whose sum is σ = 2974263132. Its totient is φ = 204472320.

The previous prime is 830668723. The next prime is 830668823. The reversal of 830668800 is 8866038.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63897594 + ... + 63897606.

Almost surely, 2^830668800 is an apocalyptic number.

830668800 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 830668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487131566).

830668800 is an abundant number, since it is smaller than the sum of its proper divisors (2143594332).

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

830668800 is an equidigital number, since it uses as much as digits as its factorization.

830668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 830668800 is about 28821.3254379461. The cubic root of 830668800 is about 940.0319892539.

The spelling of 830668800 in words is "eight hundred thirty million, six hundred sixty-eight thousand, eight hundred".