727984896 has 72 divisors (see below), whose sum is σ = 1948577904. Its totient is φ = 241274880.

The previous prime is 727984847. The next prime is 727984973. The reversal of 727984896 is 698489727.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 136390 + ... + 141626.

It is an arithmetic number, because the mean of its divisors is an integer number (27063582).

Almost surely, 2^727984896 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 727984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974288952).

727984896 is an abundant number, since it is smaller than the sum of its proper divisors (1220593008).

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

727984896 is a wasteful number, since it uses less digits than its factorization.

727984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437 (or 5423 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 60.

The square root of 727984896 is about 26981.1952292703. The cubic root of 727984896 is about 899.5820676835.

The spelling of 727984896 in words is "seven hundred twenty-seven million, nine hundred eighty-four thousand, eight hundred ninety-six".