Search a number
BaseRepresentation
bin11011110000
32102210
4123300
524101
612120
75115
oct3360
92383
101776
111375
121040
13a68
1490c
157d6
hex6f0

1776 has 20 divisors (see below), whose sum is σ = 4712. Its totient is φ = 576.

The previous prime is 1759. The next prime is 1777. The reversal of 1776 is 6771.

It can be divided in two parts, 1 and 776, that added together give a palindrome (777).

1776 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

Its product of digits (294) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1777) by changing a digit.

1776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30 + ... + 66.

21776 is an apocalyptic number.

1776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356).

1776 is an abundant number, since it is smaller than the sum of its proper divisors (2936).

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

1776 is a wasteful number, since it uses less digits than its factorization.

1776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 42 counting only the distinct ones).

The product of its digits is 294, while the sum is 21.

The square root of 1776 is about 42.1426150114. The cubic root of 1776 is about 12.1100978930.

The spelling of 1776 in words is "one thousand, seven hundred seventy-six".