77516 has 6 divisors (see below), whose sum is σ = 135660. Its totient is φ = 38756.

The previous prime is 77513. The next prime is 77521. The reversal of 77516 is 61577.

It is not an unprimeable number, because it can be changed into a prime (77513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9686 + ... + 9693.

It is an arithmetic number, because the mean of its divisors is an integer number (22610).

2⁷⁷⁵¹⁶ is an apocalyptic number.

It is an amenable number.

77516 is a deficient number, since it is larger than the sum of its proper divisors (58144).

77516 is a wasteful number, since it uses less digits than its factorization.

77516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19383 (or 19381 counting only the distinct ones).

The product of its digits is 1470, while the sum is 26.

The square root of 77516 is about 278.4169535068. The cubic root of 77516 is about 42.6380287426.

The spelling of 77516 in words is "seventy-seven thousand, five hundred sixteen".