772405 has 8 divisors (see below), whose sum is σ = 932184. Its totient is φ = 614400.

The previous prime is 772403. The next prime is 772439. The reversal of 772405 is 504277.

It can be written as a sum of positive squares in 4 ways, for example, as 311364 + 461041 = 558^2 + 679^2 .

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

It is not a de Polignac number, because 772405 - 2¹ = 772403 is a prime.

It is an Ulam number.

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 772405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772403) 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, 885 + ... + 1525.

It is an arithmetic number, because the mean of its divisors is an integer number (116523).

2⁷⁷²⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

772405 is a deficient number, since it is larger than the sum of its proper divisors (159779).

772405 is a wasteful number, since it uses less digits than its factorization.

772405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887.

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 772405 is about 878.8657462889. The cubic root of 772405 is about 91.7518913553.

The spelling of 772405 in words is "seven hundred seventy-two thousand, four hundred five".