772649 has 2 divisors, whose sum is σ = 772650. Its totient is φ = 772648.

The previous prime is 772631. The next prime is 772657. The reversal of 772649 is 946277.

772649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 462400 + 310249 = 680^2 + 557^2 .

It is a cyclic number.

It is not a de Polignac number, because 772649 - 2⁸ = 772393 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (772619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386324 + 386325.

It is an arithmetic number, because the mean of its divisors is an integer number (386325).

2⁷⁷²⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

772649 is a deficient number, since it is larger than the sum of its proper divisors (1).

772649 is an equidigital number, since it uses as much as digits as its factorization.

772649 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21168, while the sum is 35.

The square root of 772649 is about 879.0045506139. The cubic root of 772649 is about 91.7615517038.

The spelling of 772649 in words is "seven hundred seventy-two thousand, six hundred forty-nine".