77766414 has 64 divisors (see below), whose sum is σ = 176947200. Its totient is φ = 22572000.

The previous prime is 77766413. The next prime is 77766433. The reversal of 77766414 is 41466777.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77766413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390687 + ... + 390885.

It is an arithmetic number, because the mean of its divisors is an integer number (2764800).

Almost surely, 2^77766414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77766414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88473600).

77766414 is an abundant number, since it is smaller than the sum of its proper divisors (99180786).

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

77766414 is a wasteful number, since it uses less digits than its factorization.

77766414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437.

The product of its digits is 197568, while the sum is 42.

The square root of 77766414 is about 8818.5267477057. The cubic root of 77766414 is about 426.8389317684.

The spelling of 77766414 in words is "seventy-seven million, seven hundred sixty-six thousand, four hundred fourteen".