77056 has 36 divisors (see below), whose sum is σ = 179872. Its totient is φ = 32256.

The previous prime is 77047. The next prime is 77069. The reversal of 77056 is 65077.

77056 is nontrivially palindromic in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 77056.

It is a congruent number.

It is an unprimeable number.

77056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1771 + ... + 1813.

2⁷⁷⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89936).

77056 is an abundant number, since it is smaller than the sum of its proper divisors (102816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77056 is an equidigital number, since it uses as much as digits as its factorization.

77056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 77056 is about 277.5896251664. The cubic root of 77056 is about 42.5535196570.

The spelling of 77056 in words is "seventy-seven thousand, fifty-six".