77993 has 4 divisors (see below), whose sum is σ = 81408. Its totient is φ = 74580.

The previous prime is 77983. The next prime is 77999. The reversal of 77993 is 39977.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 39977 = 7 ⋅5711.

It is a cyclic number.

It is not a de Polignac number, because 77993 - 2⁴ = 77977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1673 + ... + 1718.

It is an arithmetic number, because the mean of its divisors is an integer number (20352).

2⁷⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

77993 is a deficient number, since it is larger than the sum of its proper divisors (3415).

77993 is a wasteful number, since it uses less digits than its factorization.

77993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414.

The product of its digits is 11907, while the sum is 35.

The square root of 77993 is about 279.2722685839. The cubic root of 77993 is about 42.7253086330.

It can be divided in two parts, 7 and 7993, that added together give a cube (8000 = 20³).

The spelling of 77993 in words is "seventy-seven thousand, nine hundred ninety-three".