680407728 has 480 divisors, whose sum is σ = 2558169600. Its totient is φ = 153538560.

The previous prime is 680407723. The next prime is 680407729. The reversal of 680407728 is 827704086.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 680407728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680407723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40023976 + ... + 40023992.

It is an arithmetic number, because the mean of its divisors is an integer number (5329520).

Almost surely, 2^680407728 is an apocalyptic number.

680407728 is a gapful number since it is divisible by the number (68) 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 680407728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279084800).

680407728 is an abundant number, since it is smaller than the sum of its proper divisors (1877761872).

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

680407728 is a wasteful number, since it uses less digits than its factorization.

680407728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 680407728 is about 26084.6262767938. The cubic root of 680407728 is about 879.5416552537.

The spelling of 680407728 in words is "six hundred eighty million, four hundred seven thousand, seven hundred twenty-eight".