727920864 has 192 divisors, whose sum is σ = 2334044160. Its totient is φ = 218880000.

The previous prime is 727920829. The next prime is 727920871. The reversal of 727920864 is 468029727.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1815064 + ... + 1815464.

It is an arithmetic number, because the mean of its divisors is an integer number (12156480).

Almost surely, 2^727920864 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 727920864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167022080).

727920864 is an abundant number, since it is smaller than the sum of its proper divisors (1606123296).

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

727920864 is a wasteful number, since it uses less digits than its factorization.

727920864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 727920864 is about 26980.0085989608. The cubic root of 727920864 is about 899.5556918030. Note that the first 3 decimals are identical.

The spelling of 727920864 in words is "seven hundred twenty-seven million, nine hundred twenty thousand, eight hundred sixty-four".