680777 has 4 divisors (see below), whose sum is σ = 710400. Its totient is φ = 651156.

The previous prime is 680767. The next prime is 680783. The reversal of 680777 is 777086.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 680777 - 2¹⁰ = 679753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (680707) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14777 + ... + 14822.

It is an arithmetic number, because the mean of its divisors is an integer number (177600).

2⁶⁸⁰⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

680777 is a deficient number, since it is larger than the sum of its proper divisors (29623).

680777 is a wasteful number, since it uses less digits than its factorization.

680777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29622.

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 680777 is about 825.0921160695. The cubic root of 680777 is about 87.9700741908.

The spelling of 680777 in words is "six hundred eighty thousand, seven hundred seventy-seven".