726777216 has 192 divisors, whose sum is σ = 2312331840. Its totient is φ = 217267200.

The previous prime is 726777209. The next prime is 726777221. The reversal of 726777216 is 612777627.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051431 + ... + 1052121.

It is an arithmetic number, because the mean of its divisors is an integer number (12043395).

Almost surely, 2^726777216 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 726777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156165920).

726777216 is an abundant number, since it is smaller than the sum of its proper divisors (1585554624).

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

726777216 is a wasteful number, since it uses less digits than its factorization.

726777216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 790 counting only the distinct ones).

The product of its digits is 345744, while the sum is 45.

The square root of 726777216 is about 26958.8059082742. The cubic root of 726777216 is about 899.0843428032.

The spelling of 726777216 in words is "seven hundred twenty-six million, seven hundred seventy-seven thousand, two hundred sixteen".