772344 has 48 divisors (see below), whose sum is σ = 2218320. Its totient is φ = 241920.

The previous prime is 772339. The next prime is 772349. The reversal of 772344 is 443277.

It is an interprime number because it is at equal distance from previous prime (772339) and next prime (772349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772349) by changing a digit.

772344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 909 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (46215).

2⁷⁷²³⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109160).

772344 is an abundant number, since it is smaller than the sum of its proper divisors (1445976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

772344 is a wasteful number, since it uses less digits than its factorization.

772344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 653 counting only the distinct ones).

The product of its digits is 4704, while the sum is 27.

The square root of 772344 is about 878.8310417822. The cubic root of 772344 is about 91.7494759503.

The spelling of 772344 in words is "seven hundred seventy-two thousand, three hundred forty-four", and thus it is an iban number.