83776 has 56 divisors (see below), whose sum is σ = 219456. Its totient is φ = 30720.

The previous prime is 83773. The next prime is 83777. The reversal of 83776 is 67738.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×83776³ = 1763925003337728, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83773) 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, 4920 + ... + 4936.

2⁸³⁷⁷⁶ 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 83776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728).

83776 is an abundant number, since it is smaller than the sum of its proper divisors (135680).

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

83776 is a wasteful number, since it uses less digits than its factorization.

83776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 37 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 83776 is about 289.4408402420. The cubic root of 83776 is about 43.7562276849.

The spelling of 83776 in words is "eighty-three thousand, seven hundred seventy-six".