725079760 has 80 divisors (see below), whose sum is σ = 1739263680. Its totient is φ = 280949760.

The previous prime is 725079757. The next prime is 725079769. The reversal of 725079760 is 67970527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725079769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449836 + ... + 451444.

It is an arithmetic number, because the mean of its divisors is an integer number (21740796).

Almost surely, 2^725079760 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 725079760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869631840).

725079760 is an abundant number, since it is smaller than the sum of its proper divisors (1014183920).

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

725079760 is a wasteful number, since it uses less digits than its factorization.

725079760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 43.

The square root of 725079760 is about 26927.3051009565. The cubic root of 725079760 is about 898.3838320265.

The spelling of 725079760 in words is "seven hundred twenty-five million, seventy-nine thousand, seven hundred sixty".