777601 has 8 divisors (see below), whose sum is σ = 854784. Its totient is φ = 701520.

The previous prime is 777589. The next prime is 777617. The reversal of 777601 is 106777.

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

It is a cyclic number.

It is not a de Polignac number, because 777601 - 2⁷ = 777473 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 777601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (777641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2295 + ... + 2611.

It is an arithmetic number, because the mean of its divisors is an integer number (106848).

2⁷⁷⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

777601 is a deficient number, since it is larger than the sum of its proper divisors (77183).

777601 is a wasteful number, since it uses less digits than its factorization.

777601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551.

The product of its (nonzero) digits is 2058, while the sum is 28.

The square root of 777601 is about 881.8168744133. The cubic root of 777601 is about 91.9571713064.

It can be divided in two parts, 777 and 601, that added together give a triangular number (1378 = T₅₂).

The spelling of 777601 in words is "seven hundred seventy-seven thousand, six hundred one".