77676 has 12 divisors (see below), whose sum is σ = 181272. Its totient is φ = 25888.

The previous prime is 77659. The next prime is 77681. The reversal of 77676 is 67677.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3225 + ... + 3248.

It is an arithmetic number, because the mean of its divisors is an integer number (15106).

2⁷⁷⁶⁷⁶ is an apocalyptic number.

It is an amenable number.

77676 is an abundant number, since it is smaller than the sum of its proper divisors (103596).

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 (90636).

77676 is a wasteful number, since it uses less digits than its factorization.

77676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480 (or 6478 counting only the distinct ones).

The product of its digits is 12348, while the sum is 33.

The square root of 77676 is about 278.7041442103. The cubic root of 77676 is about 42.6673448243.

Subtracting from 77676 its reverse (67677), we obtain a palindrome (9999).

The spelling of 77676 in words is "seventy-seven thousand, six hundred seventy-six".