77280680 has 16 divisors (see below), whose sum is σ = 173881620. Its totient is φ = 30912256.

The previous prime is 77280677. The next prime is 77280689. The reversal of 77280680 is 8608277.

It can be written as a sum of positive squares in 2 ways, for example, as 63457156 + 13823524 = 7966^2 + 3718^2 .

It is not an unprimeable number, because it can be changed into a prime (77280689) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 965969 + ... + 966048.

Almost surely, 2^77280680 is an apocalyptic number.

It is an amenable number.

77280680 is an abundant number, since it is smaller than the sum of its proper divisors (96600940).

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

77280680 is a wasteful number, since it uses less digits than its factorization.

77280680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932028 (or 1932024 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 77280680 is about 8790.9430665885. The cubic root of 77280680 is about 425.9483872903.

The spelling of 77280680 in words is "seventy-seven million, two hundred eighty thousand, six hundred eighty".