830718720 has 432 divisors, whose sum is σ = 3250205280. Its totient is φ = 199729152.

The previous prime is 830718701. The next prime is 830718743. The reversal of 830718720 is 27817038.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19319019 + ... + 19319061.

Almost surely, 2^830718720 is an apocalyptic number.

830718720 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 830718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625102640).

830718720 is an abundant number, since it is smaller than the sum of its proper divisors (2419486560).

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

830718720 is a wasteful number, since it uses less digits than its factorization.

830718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 830718720 is about 28822.1914503391. The cubic root of 830718720 is about 940.0508196457.

The spelling of 830718720 in words is "eight hundred thirty million, seven hundred eighteen thousand, seven hundred twenty".