77965 has 8 divisors (see below), whose sum is σ = 96768. Its totient is φ = 60240.

The previous prime is 77951. The next prime is 77969. The reversal of 77965 is 56977.

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

It is not a de Polignac number, because 77965 - 2⁵ = 77933 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 77965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77969) 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 7 ways as a sum of consecutive naturals, for example, 97 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2⁷⁷⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

77965 is a deficient number, since it is larger than the sum of its proper divisors (18803).

77965 is a wasteful number, since it uses less digits than its factorization.

77965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539.

The product of its digits is 13230, while the sum is 34.

The square root of 77965 is about 279.2221337932. Note that the first 3 decimals coincide. The cubic root of 77965 is about 42.7201951321.

It can be divided in two parts, 77 and 965, that multiplied together give a triangular number (74305 = T₃₈₅).

The spelling of 77965 in words is "seventy-seven thousand, nine hundred sixty-five".