727648680 has 128 divisors (see below), whose sum is σ = 2388787200. Its totient is φ = 175852800.

The previous prime is 727648673. The next prime is 727648693. The reversal of 727648680 is 86846727.

727648680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568281 + ... + 569559.

It is an arithmetic number, because the mean of its divisors is an integer number (18662400).

Almost surely, 2^727648680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727648680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194393600).

727648680 is an abundant number, since it is smaller than the sum of its proper divisors (1661138520).

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

727648680 is a wasteful number, since it uses less digits than its factorization.

727648680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 727648680 is about 26974.9639480760. The cubic root of 727648680 is about 899.4435572738.

The spelling of 727648680 in words is "seven hundred twenty-seven million, six hundred forty-eight thousand, six hundred eighty".