725956980 has 96 divisors (see below), whose sum is σ = 2349285120. Its totient is φ = 164060160.

The previous prime is 725956969. The next prime is 725957047. The reversal of 725956980 is 89659527.

It is a happy number.

725956980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27670 + ... + 47090.

It is an arithmetic number, because the mean of its divisors is an integer number (24471720).

Almost surely, 2^725956980 is an apocalyptic number.

725956980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725956980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174642560).

725956980 is an abundant number, since it is smaller than the sum of its proper divisors (1623328140).

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

725956980 is a wasteful number, since it uses less digits than its factorization.

725956980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19529 (or 19527 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 725956980 is about 26943.5888478131. The cubic root of 725956980 is about 898.7459819162.

The spelling of 725956980 in words is "seven hundred twenty-five million, nine hundred fifty-six thousand, nine hundred eighty".