777213 has 6 divisors (see below), whose sum is σ = 1122654. Its totient is φ = 518136.

The previous prime is 777209. The next prime is 777221. The reversal of 777213 is 312777.

It can be written as a sum of positive squares in only one way, i.e., 710649 + 66564 = 843^2 + 258^2 .

It is not a de Polignac number, because 777213 - 2² = 777209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (777013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43170 + ... + 43187.

It is an arithmetic number, because the mean of its divisors is an integer number (187109).

2⁷⁷⁷²¹³ is an apocalyptic number.

It is an amenable number.

777213 is a deficient number, since it is larger than the sum of its proper divisors (345441).

777213 is a wasteful number, since it uses less digits than its factorization.

777213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86363 (or 86360 counting only the distinct ones).

The product of its digits is 2058, while the sum is 27.

The square root of 777213 is about 881.5968466368. The cubic root of 777213 is about 91.9418741217.

It can be divided in two parts, 777 and 213, that added together give a triangular number (990 = T₄₄).

The spelling of 777213 in words is "seven hundred seventy-seven thousand, two hundred thirteen".