726503760 has 240 divisors, whose sum is σ = 2681078400. Its totient is φ = 175481856.

The previous prime is 726503759. The next prime is 726503777. The reversal of 726503760 is 67305627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313486 + ... + 315794.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2^726503760 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 726503760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340539200).

726503760 is an abundant number, since it is smaller than the sum of its proper divisors (1954574640).

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

726503760 is a wasteful number, since it uses less digits than its factorization.

726503760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 726503760 is about 26953.7336931268. The cubic root of 726503760 is about 898.9715659923.

The spelling of 726503760 in words is "seven hundred twenty-six million, five hundred three thousand, seven hundred sixty".