126777 has 8 divisors (see below), whose sum is σ = 193216. Its totient is φ = 72432.

The previous prime is 126761. The next prime is 126781. The reversal of 126777 is 777621.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 126777 - 2⁴ = 126761 is a prime.

It is an Ulam number.

It is a Duffinian number.

126777 is a modest number, since divided by 777 gives 126 as remainder.

126777 is a lucky number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (126757) 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, 2998 + ... + 3039.

It is an arithmetic number, because the mean of its divisors is an integer number (24152).

2¹²⁶⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

126777 is a deficient number, since it is larger than the sum of its proper divisors (66439).

126777 is an equidigital number, since it uses as much as digits as its factorization.

126777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6047.

The product of its digits is 4116, while the sum is 30.

The square root of 126777 is about 356.0575796132. The cubic root of 126777 is about 50.2358193693.

It can be divided in two parts, 126 and 777, that added together give a triangular number (903 = T₄₂).

The spelling of 126777 in words is "one hundred twenty-six thousand, seven hundred seventy-seven".