77677056 has 100 divisors (see below), whose sum is σ = 231969342. Its totient is φ = 25878528.

The previous prime is 77677043. The next prime is 77677057. The reversal of 77677056 is 65077677.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 77158656 + 518400 = 8784^2 + 720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77677057) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40536 + ... + 42408.

Almost surely, 2^77677056 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 77677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115984671).

77677056 is an abundant number, since it is smaller than the sum of its proper divisors (154292286).

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

77677056 is an equidigital number, since it uses as much as digits as its factorization.

77677056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The square root of 77677056 is about 8813.4587989052. The cubic root of 77677056 is about 426.6753817664.

It can be divided in two parts, 7767705 and 6, that added together give a triangular number (7767711 = T₃₉₄₁).

The spelling of 77677056 in words is "seventy-seven million, six hundred seventy-seven thousand, fifty-six".