772353 has 6 divisors (see below), whose sum is σ = 1115634. Its totient is φ = 514896.

The previous prime is 772349. The next prime is 772367. The reversal of 772353 is 353277.

It can be written as a sum of positive squares in only one way, i.e., 651249 + 121104 = 807^2 + 348^2 .

It is not a de Polignac number, because 772353 - 2² = 772349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (772313) 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, 42900 + ... + 42917.

It is an arithmetic number, because the mean of its divisors is an integer number (185939).

2⁷⁷²³⁵³ is an apocalyptic number.

It is an amenable number.

772353 is a deficient number, since it is larger than the sum of its proper divisors (343281).

772353 is a wasteful number, since it uses less digits than its factorization.

772353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85823 (or 85820 counting only the distinct ones).

The product of its digits is 4410, while the sum is 27.

The square root of 772353 is about 878.8361622054. The cubic root of 772353 is about 91.7498323295.

It can be divided in two parts, 7723 and 53, that added together give a 5-th power (7776 = 6⁵).

The spelling of 772353 in words is "seven hundred seventy-two thousand, three hundred fifty-three".