16777077761 has 16 divisors (see below), whose sum is σ = 17342579520. Its totient is φ = 16221791040.

The previous prime is 16777077727. The next prime is 16777077769.

It is a happy number.

16777077761 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 16777077761 - 2¹⁸ = 16776815617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16777077697 and 16777077706.

It is not an unprimeable number, because it can be changed into a prime (16777077769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1847450 + ... + 1856508.

It is an arithmetic number, because the mean of its divisors is an integer number (1083911220).

Almost surely, 2^16777077761 is an apocalyptic number.

It is an amenable number.

16777077761 is a deficient number, since it is larger than the sum of its proper divisors (565501759).

16777077761 is an equidigital number, since it uses as much as digits as its factorization.

16777077761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9616.

The product of its (nonzero) digits is 4235364, while the sum is 56.

The spelling of 16777077761 in words is "sixteen billion, seven hundred seventy-seven million, seventy-seven thousand, seven hundred sixty-one".