6777444000077 has 8 divisors (see below), whose sum is σ = 6942835279800. Its totient is φ = 6612056899840.

The previous prime is 6777444000073. The next prime is 6777444000139. The reversal of 6777444000077 is 7700004447776.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30016948516 + 6747427051561 = 173254^2 + 2597581^2 .

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 6777444000077 - 2² = 6777444000073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6777443999992 and 6777444000028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6777444000073) 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, 2372633 + ... + 4379985.

It is an arithmetic number, because the mean of its divisors is an integer number (867854409975).

Almost surely, 2^{6777444000077} is an apocalyptic number.

It is an amenable number.

6777444000077 is a deficient number, since it is larger than the sum of its proper divisors (165391279723).

6777444000077 is a wasteful number, since it uses less digits than its factorization.

6777444000077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089743.

The product of its (nonzero) digits is 6453888, while the sum is 53.

The spelling of 6777444000077 in words is "six trillion, seven hundred seventy-seven billion, four hundred forty-four million, seventy-seven", and thus it is an aban number.