727806816 has 96 divisors (see below), whose sum is σ = 2315779200. Its totient is φ = 220544640.

The previous prime is 727806773. The next prime is 727806841. The reversal of 727806816 is 618608727.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×727806816² = 1059405522832115712, which contains 22 as substring.

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, 28786 + ... + 47793.

It is an arithmetic number, because the mean of its divisors is an integer number (24122700).

Almost surely, 2^727806816 is an apocalyptic number.

It is an amenable number.

727806816 is an abundant number, since it is smaller than the sum of its proper divisors (1587972384).

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

727806816 is a wasteful number, since it uses less digits than its factorization.

727806816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76609 (or 76595 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 727806816 is about 26977.8949512374. The cubic root of 727806816 is about 899.5087096419.

The spelling of 727806816 in words is "seven hundred twenty-seven million, eight hundred six thousand, eight hundred sixteen".