77853 has 4 divisors (see below), whose sum is σ = 103808. Its totient is φ = 51900.

The previous prime is 77849. The next prime is 77863. The reversal of 77853 is 35877.

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: 35877 = 3 ⋅11959.

It is not a de Polignac number, because 77853 - 2² = 77849 is a prime.

It is a super-2 number, since 2×77853² = 12122179218, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

77853 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 77853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77813) 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, 12973 + ... + 12978.

It is an arithmetic number, because the mean of its divisors is an integer number (25952).

2⁷⁷⁸⁵³ is an apocalyptic number.

It is an amenable number.

77853 is a deficient number, since it is larger than the sum of its proper divisors (25955).

77853 is a wasteful number, since it uses less digits than its factorization.

77853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25954.

The product of its digits is 5880, while the sum is 30.

The square root of 77853 is about 279.0215045476. The cubic root of 77853 is about 42.6997288767.

The spelling of 77853 in words is "seventy-seven thousand, eight hundred fifty-three".