680088077 has 8 divisors (see below), whose sum is σ = 744924600. Its totient is φ = 618010624.

The previous prime is 680088061. The next prime is 680088107. The reversal of 680088077 is 770880086.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44342281 + 635745796 = 6659^2 + 25214^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 680088077 - 2⁴ = 680088061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680088007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 689252 + ... + 690237.

It is an arithmetic number, because the mean of its divisors is an integer number (93115575).

Almost surely, 2^680088077 is an apocalyptic number.

It is an amenable number.

680088077 is a deficient number, since it is larger than the sum of its proper divisors (64836523).

680088077 is a wasteful number, since it uses less digits than its factorization.

680088077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379535.

The product of its (nonzero) digits is 150528, while the sum is 44.

The square root of 680088077 is about 26078.4983655118. The cubic root of 680088077 is about 879.4038994168.

The spelling of 680088077 in words is "six hundred eighty million, eighty-eight thousand, seventy-seven".