77766444 has 36 divisors (see below), whose sum is σ = 224659344. Its totient is φ = 22218912.

The previous prime is 77766433. The next prime is 77766467. The reversal of 77766444 is 44466777.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 77766444.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 154047 + ... + 154550.

Almost surely, 2^77766444 is an apocalyptic number.

It is an amenable number.

77766444 is an abundant number, since it is smaller than the sum of its proper divisors (146892900).

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

77766444 is a wasteful number, since it uses less digits than its factorization.

77766444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308614 (or 308609 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 77766444 is about 8818.5284486699. The cubic root of 77766444 is about 426.8389866558.

It can be divided in two parts, 77766 and 444, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 77766444 in words is "seventy-seven million, seven hundred sixty-six thousand, four hundred forty-four".