726897600 has 504 divisors, whose sum is σ = 3043836432. Its totient is φ = 162201600.

The previous prime is 726897599. The next prime is 726897607. The reversal of 726897600 is 6798627.

It is a happy number.

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 Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726897607) 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, 2059024 + ... + 2059376.

It is an arithmetic number, because the mean of its divisors is an integer number (6039358).

Almost surely, 2^726897600 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 726897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521918216).

726897600 is an abundant number, since it is smaller than the sum of its proper divisors (2316938832).

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

726897600 is a wasteful number, since it uses less digits than its factorization.

726897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 726897600 is about 26961.0385556640. The cubic root of 726897600 is about 899.1339817626.

The spelling of 726897600 in words is "seven hundred twenty-six million, eight hundred ninety-seven thousand, six hundred".