77766 has 16 divisors (see below), whose sum is σ = 167664. Its totient is φ = 23904.

The previous prime is 77761. The next prime is 77773. The reversal of 77766 is 66777.

It is a happy number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77766.

It is not an unprimeable number, because it can be changed into a prime (77761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (10479).

2⁷⁷⁷⁶⁶ is an apocalyptic number.

77766 is an abundant number, since it is smaller than the sum of its proper divisors (89898).

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 (83832).

77766 is a wasteful number, since it uses less digits than its factorization.

77766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015.

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

The square root of 77766 is about 278.8655590065. The cubic root of 77766 is about 42.6838174322.

It can be divided in two parts, 7776 and 6, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 77766 in words is "seventy-seven thousand, seven hundred sixty-six".