77883 has 8 divisors (see below), whose sum is σ = 111888. Its totient is φ = 47904.

The previous prime is 77867. The next prime is 77893. The reversal of 77883 is 38877.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 77883 - 2⁴ = 77867 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (77813) 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, 960 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (13986).

2⁷⁷⁸⁸³ is an apocalyptic number.

77883 is a deficient number, since it is larger than the sum of its proper divisors (34005).

77883 is a wasteful number, since it uses less digits than its factorization.

77883 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013.

The product of its digits is 9408, while the sum is 33.

The square root of 77883 is about 279.0752586669. The cubic root of 77883 is about 42.7052128330.

It can be divided in two parts, 778 and 83, that added together give a triangular number (861 = T₄₁).

The spelling of 77883 in words is "seventy-seven thousand, eight hundred eighty-three".