726788304 has 360 divisors, whose sum is σ = 2476341504. Its totient is φ = 196992000.

The previous prime is 726788303. The next prime is 726788333. The reversal of 726788304 is 403887627.

It is a happy number.

726788304 is a `hidden beast` number, since 7 + 267 + 88 + 304 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 726788304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726788303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17726524 + ... + 17726564.

Almost surely, 2^726788304 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 726788304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238170752).

726788304 is an abundant number, since it is smaller than the sum of its proper divisors (1749553200).

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

726788304 is a wasteful number, since it uses less digits than its factorization.

726788304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 726788304 is about 26959.0115545804. The cubic root of 726788304 is about 899.0889150418.

The spelling of 726788304 in words is "seven hundred twenty-six million, seven hundred eighty-eight thousand, three hundred four".