726629904 has 360 divisors, whose sum is σ = 2769364416. Its totient is φ = 171763200.

The previous prime is 726629903. The next prime is 726629933. The reversal of 726629904 is 409926627.

It is a self number, because there is not a number n which added to its sum of digits gives 726629904.

It is not an unprimeable number, because it can be changed into a prime (726629903) 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, 10234189 + ... + 10234259.

Almost surely, 2^726629904 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 726629904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384682208).

726629904 is an abundant number, since it is smaller than the sum of its proper divisors (2042734512).

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

726629904 is a wasteful number, since it uses less digits than its factorization.

726629904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 726629904 is about 26956.0736013241. The cubic root of 726629904 is about 899.0235929341.

The spelling of 726629904 in words is "seven hundred twenty-six million, six hundred twenty-nine thousand, nine hundred four".