680715840 has 336 divisors, whose sum is σ = 2606040000. Its totient is φ = 149925888.

The previous prime is 680715839. The next prime is 680715947. The reversal of 680715840 is 48517086.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1363911 + ... + 1364409.

Almost surely, 2^680715840 is an apocalyptic number.

680715840 is a gapful number since it is divisible by the number (60) 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 680715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303020000).

680715840 is an abundant number, since it is smaller than the sum of its proper divisors (1925324160).

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

680715840 is a wasteful number, since it uses less digits than its factorization.

680715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 680715840 is about 26090.5316158947. The cubic root of 680715840 is about 879.6743974473.

The spelling of 680715840 in words is "six hundred eighty million, seven hundred fifteen thousand, eight hundred forty".