77016 has 16 divisors (see below), whose sum is σ = 192600. Its totient is φ = 25664.

The previous prime is 77003. The next prime is 77017. The reversal of 77016 is 61077.

It is a junction number, because it is equal to n+sod(n) for n = 76983 and 77001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1581 + ... + 1628.

2⁷⁷⁰¹⁶ is an apocalyptic number.

It is an amenable number.

77016 is an abundant number, since it is smaller than the sum of its proper divisors (115584).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96300).

77016 is a wasteful number, since it uses less digits than its factorization.

77016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 77016 is about 277.5175670115. The cubic root of 77016 is about 42.5461551628.

The spelling of 77016 in words is "seventy-seven thousand, sixteen".