680015760 has 160 divisors (see below), whose sum is σ = 2177860608. Its totient is φ = 175418880.

The previous prime is 680015753. The next prime is 680015767. The reversal of 680015760 is 67510086.

It is an interprime number because it is at equal distance from previous prime (680015753) and next prime (680015767).

It is not an unprimeable number, because it can be changed into a prime (680015767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1351669 + ... + 1352171.

Almost surely, 2^680015760 is an apocalyptic number.

680015760 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 680015760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088930304).

680015760 is an abundant number, since it is smaller than the sum of its proper divisors (1497844848).

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

680015760 is a wasteful number, since it uses less digits than its factorization.

680015760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 680015760 is about 26077.1118032653. Note that the first 3 decimals coincide. The cubic root of 680015760 is about 879.3727279121.

The spelling of 680015760 in words is "six hundred eighty million, fifteen thousand, seven hundred sixty".