1676776761 has 16 divisors (see below), whose sum is σ = 2709942720. Its totient is φ = 1016228160.

The previous prime is 1676776753. The next prime is 1676776789.

1676776761 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1676776761 - 2³ = 1676776753 is a prime.

It is a super-2 number, since 2×1676776761² = 5623160612459302242, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1676776698 and 1676776707.

It is not an unprimeable number, because it can be changed into a prime (1676726761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2822560 + ... + 2823153.

It is an arithmetic number, because the mean of its divisors is an integer number (169371420).

Almost surely, 2^1676776761 is an apocalyptic number.

1676776761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1676776761 is a deficient number, since it is larger than the sum of its proper divisors (1033165959).

1676776761 is a wasteful number, since it uses less digits than its factorization.

1676776761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645733 (or 5645727 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 1676776761 is about 40948.4646964938. The cubic root of 1676776761 is about 1188.0236386991.

It can be divided in two parts, 16767 and 76761, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 1676776761 in words is "one billion, six hundred seventy-six million, seven hundred seventy-six thousand, seven hundred sixty-one".