772227 has 16 divisors (see below), whose sum is σ = 1176480. Its totient is φ = 500256.

The previous prime is 772207. The next prime is 772229. The reversal of 772227 is 722277.

It is not a de Polignac number, because 772227 - 2⁸ = 771971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 7⁴ + 7⁶ + 2¹¹ + 2¹³ + 2¹⁹ + 7⁶ .

772227 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 772227.

It is not an unprimeable number, because it can be changed into a prime (772229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613 + ... + 1385.

It is an arithmetic number, because the mean of its divisors is an integer number (73530).

2⁷⁷²²²⁷ is an apocalyptic number.

772227 is a deficient number, since it is larger than the sum of its proper divisors (404253).

772227 is a wasteful number, since it uses less digits than its factorization.

772227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its digits is 2744, while the sum is 27.

The square root of 772227 is about 878.7644735650. The cubic root of 772227 is about 91.7448427683.

It can be divided in two parts, 772 and 227, that added together give a palindrome (999).

The spelling of 772227 in words is "seven hundred seventy-two thousand, two hundred twenty-seven", and thus it is an iban number.