725776688 has 80 divisors (see below), whose sum is σ = 1735888896. Its totient is φ = 286260480.

The previous prime is 725776669. The next prime is 725776721. The reversal of 725776688 is 886677527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 15 ways as a sum of consecutive naturals, for example, 731873 + ... + 732863.

Almost surely, 2^725776688 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 725776688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867944448).

725776688 is an abundant number, since it is smaller than the sum of its proper divisors (1010112208).

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

725776688 is a wasteful number, since it uses less digits than its factorization.

725776688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1516 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 56.

The square root of 725776688 is about 26940.2429090756. The cubic root of 725776688 is about 898.6715743269.

The spelling of 725776688 in words is "seven hundred twenty-five million, seven hundred seventy-six thousand, six hundred eighty-eight".