77627 has 4 divisors (see below), whose sum is σ = 84696. Its totient is φ = 70560.

The previous prime is 77621. The next prime is 77641. The reversal of 77627 is 72677.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 72677 = 11 ⋅6607.

It is a cyclic number.

It is not a de Polignac number, because 77627 - 2⁴ = 77611 is a prime.

It is a super-2 number, since 2×77627² = 12051902258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77627.

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 3 ways as a sum of consecutive naturals, for example, 3518 + ... + 3539.

It is an arithmetic number, because the mean of its divisors is an integer number (21174).

2⁷⁷⁶²⁷ is an apocalyptic number.

77627 is a deficient number, since it is larger than the sum of its proper divisors (7069).

77627 is a wasteful number, since it uses less digits than its factorization.

77627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068.

The product of its digits is 4116, while the sum is 29.

The square root of 77627 is about 278.6162235047. The cubic root of 77627 is about 42.6583710543.

Subtracting from 77627 its reverse (72677), we obtain a triangular number (4950 = T₉₉).

The spelling of 77627 in words is "seventy-seven thousand, six hundred twenty-seven".