76776 has 32 divisors (see below), whose sum is σ = 219840. Its totient is φ = 21888.

The previous prime is 76771. The next prime is 76777. The reversal of 76776 is 67767.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76771) 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, 61 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (6870).

2⁷⁶⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109920).

76776 is an abundant number, since it is smaller than the sum of its proper divisors (143064).

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

76776 is a wasteful number, since it uses less digits than its factorization.

76776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

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

The square root of 76776 is about 277.0848245574. The cubic root of 76776 is about 42.5019145620.

Subtracting from 76776 its reverse (67767), we obtain a palindrome (9009).

The spelling of 76776 in words is "seventy-six thousand, seven hundred seventy-six".