680077728 has 192 divisors, whose sum is σ = 2182118400. Its totient is φ = 204353280.

The previous prime is 680077711. The next prime is 680077729. The reversal of 680077728 is 827770086.

It is a super-2 number, since 2×680077728² = 925011432243283968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680077729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1548933 + ... + 1549371.

It is an arithmetic number, because the mean of its divisors is an integer number (11365200).

Almost surely, 2^680077728 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 680077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091059200).

680077728 is an abundant number, since it is smaller than the sum of its proper divisors (1502040672).

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

680077728 is a wasteful number, since it uses less digits than its factorization.

680077728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 680077728 is about 26078.2999445899. The cubic root of 680077728 is about 879.3994387214.

The spelling of 680077728 in words is "six hundred eighty million, seventy-seven thousand, seven hundred twenty-eight".