687677705 has 32 divisors (see below), whose sum is σ = 985436928. Its totient is φ = 454060800.

The previous prime is 687677689. The next prime is 687677719. The reversal of 687677705 is 507776786.

It is not a de Polignac number, because 687677705 - 2⁴ = 687677689 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 35732 + ... + 51498.

It is an arithmetic number, because the mean of its divisors is an integer number (30794904).

Almost surely, 2^687677705 is an apocalyptic number.

687677705 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

687677705 is a deficient number, since it is larger than the sum of its proper divisors (297759223).

687677705 is a wasteful number, since it uses less digits than its factorization.

687677705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15857.

The product of its (nonzero) digits is 3457440, while the sum is 53.

The square root of 687677705 is about 26223.6096866926. The cubic root of 687677705 is about 882.6631209837.

The spelling of 687677705 in words is "six hundred eighty-seven million, six hundred seventy-seven thousand, seven hundred five".