830712080 has 80 divisors (see below), whose sum is σ = 2123864064. Its totient is φ = 299658240.

The previous prime is 830712073. The next prime is 830712083. The reversal of 830712080 is 80217038.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (830712083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108044 + ... + 115476.

Almost surely, 2^830712080 is an apocalyptic number.

830712080 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 830712080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061932032).

830712080 is an abundant number, since it is smaller than the sum of its proper divisors (1293151984).

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

830712080 is a wasteful number, since it uses less digits than its factorization.

830712080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 830712080 is about 28822.0762610885. The cubic root of 830712080 is about 940.0483150057.

The spelling of 830712080 in words is "eight hundred thirty million, seven hundred twelve thousand, eighty".