77982 has 16 divisors (see below), whose sum is σ = 160272. Its totient is φ = 25280.

The previous prime is 77977. The next prime is 77983. The reversal of 77982 is 28977.

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 77982.

It is not an unprimeable number, because it can be changed into a prime (77983) 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, 88 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (10017).

2⁷⁷⁹⁸² is an apocalyptic number.

77982 is an abundant number, since it is smaller than the sum of its proper divisors (82290).

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 (80136).

77982 is a wasteful number, since it uses less digits than its factorization.

77982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363.

The product of its digits is 7056, while the sum is 33.

The square root of 77982 is about 279.2525738467. The cubic root of 77982 is about 42.7232999036.

It can be divided in two parts, 779 and 82, that added together give a triangular number (861 = T₄₁).

The spelling of 77982 in words is "seventy-seven thousand, nine hundred eighty-two".