727888668 has 48 divisors (see below), whose sum is σ = 1838323200. Its totient is φ = 222830784.

The previous prime is 727888639. The next prime is 727888673. The reversal of 727888668 is 866888727.

727888668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19321 + ... + 42767.

It is an arithmetic number, because the mean of its divisors is an integer number (38298400).

Almost surely, 2^727888668 is an apocalyptic number.

727888668 is a gapful number since it is divisible by the number (78) 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 727888668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919161600).

727888668 is an abundant number, since it is smaller than the sum of its proper divisors (1110434532).

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

727888668 is a wasteful number, since it uses less digits than its factorization.

727888668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23666 (or 23664 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 60.

The square root of 727888668 is about 26979.4119283575. The cubic root of 727888668 is about 899.5424291333.

The spelling of 727888668 in words is "seven hundred twenty-seven million, eight hundred eighty-eight thousand, six hundred sixty-eight".