77693 has 8 divisors (see below), whose sum is σ = 96960. Its totient is φ = 60480.

The previous prime is 77689. The next prime is 77699. The reversal of 77693 is 39677.

Added to its reverse (39677) it gives a triangular number (117370 = T₄₈₄).

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

It is not a de Polignac number, because 77693 - 2² = 77689 is a prime.

It is a Duffinian number.

77693 is a modest number, since divided by 693 gives 77 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (12120).

2⁷⁷⁶⁹³ is an apocalyptic number.

It is an amenable number.

77693 is a deficient number, since it is larger than the sum of its proper divisors (19267).

77693 is a wasteful number, since it uses less digits than its factorization.

77693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027.

The product of its digits is 7938, while the sum is 32.

The square root of 77693 is about 278.7346408325. The cubic root of 77693 is about 42.6704572913.

Adding to 77693 its reverse (39677), we get a triangular number (117370 = T₄₈₄).

It can be divided in two parts, 77 and 693, that multiplied together give a square (53361 = 231²).

The spelling of 77693 in words is "seventy-seven thousand, six hundred ninety-three".