718829712 has 120 divisors (see below), whose sum is σ = 2081559480. Its totient is φ = 231413760.

The previous prime is 718829711. The next prime is 718829723. The reversal of 718829712 is 217928817.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 714813696 = 2004^2 + 26736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (718829711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642978 + ... + 644094.

It is an arithmetic number, because the mean of its divisors is an integer number (17346329).

Almost surely, 2^718829712 is an apocalyptic number.

718829712 is a gapful number since it is divisible by the number (72) 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 718829712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040779740).

718829712 is an abundant number, since it is smaller than the sum of its proper divisors (1362729768).

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

718829712 is a wasteful number, since it uses less digits than its factorization.

718829712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 718829712 is about 26810.9998321584. Note that the first 3 decimals coincide. The cubic root of 718829712 is about 895.7950809545.

The spelling of 718829712 in words is "seven hundred eighteen million, eight hundred twenty-nine thousand, seven hundred twelve".