680072080 has 80 divisors (see below), whose sum is σ = 1697998464. Its totient is φ = 252385280.

The previous prime is 680072077. The next prime is 680072083. The reversal of 680072080 is 80270086.

It is an interprime number because it is at equal distance from previous prime (680072077) and next prime (680072083).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (680072083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93039 + ... + 100081.

Almost surely, 2^680072080 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 680072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848999232).

680072080 is an abundant number, since it is smaller than the sum of its proper divisors (1017926384).

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

680072080 is a wasteful number, since it uses less digits than its factorization.

680072080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 680072080 is about 26078.1916550976. The cubic root of 680072080 is about 879.3970042635.

The spelling of 680072080 in words is "six hundred eighty million, seventy-two thousand, eighty".