77027 has 8 divisors (see below), whose sum is σ = 85536. Its totient is φ = 68992.

The previous prime is 77023. The next prime is 77029. The reversal of 77027 is 72077.

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 77027 - 2² = 77023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76993 and 77011.

It is not an unprimeable number, because it can be changed into a prime (77023) 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, 293 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (10692).

2⁷⁷⁰²⁷ is an apocalyptic number.

77027 is a deficient number, since it is larger than the sum of its proper divisors (8509).

77027 is a wasteful number, since it uses less digits than its factorization.

77027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237.

The product of its (nonzero) digits is 686, while the sum is 23.

The square root of 77027 is about 277.5373848691. The cubic root of 77027 is about 42.5481806529.

Subtracting from 77027 its reverse (72077), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 770 and 27, that added together give a palindrome (797).

The spelling of 77027 in words is "seventy-seven thousand, twenty-seven", and thus it is an iban number.