77914 has 8 divisors (see below), whose sum is σ = 118080. Its totient is φ = 38556.

The previous prime is 77899. The next prime is 77929. The reversal of 77914 is 41977.

77914 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (77899) and next prime (77929).

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

It is a congruent number.

It is an unprimeable number.

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, 207 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (14760).

2⁷⁷⁹¹⁴ is an apocalyptic number.

77914 is a deficient number, since it is larger than the sum of its proper divisors (40166).

77914 is a wasteful number, since it uses less digits than its factorization.

77914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404.

The product of its digits is 1764, while the sum is 28.

The square root of 77914 is about 279.1307937151. The cubic root of 77914 is about 42.7108781087.

Subtracting from 77914 its reverse (41977), we obtain a cube (35937 = 33³).

It can be divided in two parts, 7 and 7914, that added together give a square (7921 = 89²).

The spelling of 77914 in words is "seventy-seven thousand, nine hundred fourteen".