725796680 has 64 divisors (see below), whose sum is σ = 1885645440. Its totient is φ = 246269952.

The previous prime is 725796679. The next prime is 725796697. The reversal of 725796680 is 86697527.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

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, 13799 + ... + 40521.

It is an arithmetic number, because the mean of its divisors is an integer number (29463210).

Almost surely, 2^725796680 is an apocalyptic number.

725796680 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 725796680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942822720).

725796680 is an abundant number, since it is smaller than the sum of its proper divisors (1159848760).

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

725796680 is a wasteful number, since it uses less digits than its factorization.

725796680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26838 (or 26834 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The square root of 725796680 is about 26940.6139499455. The cubic root of 725796680 is about 898.6798257526.

The spelling of 725796680 in words is "seven hundred twenty-five million, seven hundred ninety-six thousand, six hundred eighty".