680078880 has 288 divisors, whose sum is σ = 2647545264. Its totient is φ = 157483008.

The previous prime is 680078851. The next prime is 680078887. The reversal of 680078880 is 88870086.

It can be written as a sum of positive squares in 8 ways, for example, as 94245264 + 585833616 = 9708^2 + 24204^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (680078887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317172 + ... + 319308.

Almost surely, 2^680078880 is an apocalyptic number.

680078880 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 680078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323772632).

680078880 is an abundant number, since it is smaller than the sum of its proper divisors (1967466384).

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

680078880 is a wasteful number, since it uses less digits than its factorization.

680078880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 680078880 is about 26078.3220319100. The cubic root of 680078880 is about 879.3999352664.

The spelling of 680078880 in words is "six hundred eighty million, seventy-eight thousand, eight hundred eighty".