680754816 has 384 divisors, whose sum is σ = 2405894400. Its totient is φ = 180633600.

The previous prime is 680754797. The next prime is 680754829. The reversal of 680754816 is 618457086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9588061 + ... + 9588131.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^680754816 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 680754816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

680754816 is an abundant number, since it is smaller than the sum of its proper divisors (1725139584).

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

680754816 is a wasteful number, since it uses less digits than its factorization.

680754816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 680754816 is about 26091.2785428388. The cubic root of 680754816 is about 879.6911864083.

The spelling of 680754816 in words is "six hundred eighty million, seven hundred fifty-four thousand, eight hundred sixteen".