725980320 has 480 divisors, whose sum is σ = 2868687360. Its totient is φ = 171694080.

The previous prime is 725980319. The next prime is 725980373. The reversal of 725980320 is 23089527.

It is a happy number.

725980320 is a `hidden beast` number, since 7 + 259 + 80 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5222811 + ... + 5222949.

It is an arithmetic number, because the mean of its divisors is an integer number (5976432).

Almost surely, 2^725980320 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 725980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434343680).

725980320 is an abundant number, since it is smaller than the sum of its proper divisors (2142707040).

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

725980320 is a wasteful number, since it uses less digits than its factorization.

725980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 725980320 is about 26944.0219714875. The cubic root of 725980320 is about 898.7556135734.

The spelling of 725980320 in words is "seven hundred twenty-five million, nine hundred eighty thousand, three hundred twenty".