77984 has 12 divisors (see below), whose sum is σ = 153594. Its totient is φ = 38976.

The previous prime is 77983. The next prime is 77999. The reversal of 77984 is 48977.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 29584 = 220^2 + 172^2 .

It is not an unprimeable number, because it can be changed into a prime (77983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1187 + ... + 1250.

2⁷⁷⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

77984 is a deficient number, since it is larger than the sum of its proper divisors (75610).

77984 is a wasteful number, since it uses less digits than its factorization.

77984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2439 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 77984 is about 279.2561548113. The cubic root of 77984 is about 42.7236651412.

The spelling of 77984 in words is "seventy-seven thousand, nine hundred eighty-four".