77623 has 8 divisors (see below), whose sum is σ = 95648. Its totient is φ = 61344.

The previous prime is 77621. The next prime is 77641. The reversal of 77623 is 32677.

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

It is a cyclic number.

It is not a de Polignac number, because 77623 - 2¹ = 77621 is a prime.

It is a d-powerful number, because it can be written as 7³ + 7⁵ + 6⁴ + 2⁷ + 3¹⁰ .

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (11956).

2⁷⁷⁶²³ is an apocalyptic number.

77623 is a deficient number, since it is larger than the sum of its proper divisors (18025).

77623 is a wasteful number, since it uses less digits than its factorization.

77623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873.

The product of its digits is 1764, while the sum is 25.

The square root of 77623 is about 278.6090450793. The cubic root of 77623 is about 42.6576383350.

It can be divided in two parts, 7 and 7623, that multiplied together give a square (53361 = 231²).

The spelling of 77623 in words is "seventy-seven thousand, six hundred twenty-three".