77008 has 10 divisors (see below), whose sum is σ = 149234. Its totient is φ = 38496.

The previous prime is 77003. The next prime is 77017. The reversal of 77008 is 80077.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 5184 = 268^2 + 72^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 77008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2391 + ... + 2422.

2⁷⁷⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

77008 is a deficient number, since it is larger than the sum of its proper divisors (72226).

77008 is a wasteful number, since it uses less digits than its factorization.

77008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 77008 is about 277.5031531352. The cubic root of 77008 is about 42.5446819580.

The spelling of 77008 in words is "seventy-seven thousand, eight".