77427 has 12 divisors (see below), whose sum is σ = 127920. Its totient is φ = 44208.

The previous prime is 77419. The next prime is 77431. The reversal of 77427 is 72477.

It is a happy number.

77427 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 77427 - 2³ = 77419 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 77427.

It is not an unprimeable number, because it can be changed into a prime (77417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (10660).

2⁷⁷⁴²⁷ is an apocalyptic number.

77427 is a deficient number, since it is larger than the sum of its proper divisors (50493).

77427 is a wasteful number, since it uses less digits than its factorization.

77427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1239 counting only the distinct ones).

The product of its digits is 2744, while the sum is 27.

The square root of 77427 is about 278.2570753817. The cubic root of 77427 is about 42.6217042082.

Subtracting from 77427 its reverse (72477), we obtain a triangular number (4950 = T₉₉).

The spelling of 77427 in words is "seventy-seven thousand, four hundred twenty-seven", and thus it is an iban number.