772731 has 12 divisors (see below), whose sum is σ = 1165008. Its totient is φ = 492624.

The previous prime is 772721. The next prime is 772757. The reversal of 772731 is 137277.

It is not a de Polignac number, because 772731 - 2¹³ = 764539 is a prime.

It is a super-2 number, since 2×772731² = 1194226396722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 772695 and 772704.

It is not an unprimeable number, because it can be changed into a prime (772721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1660 + ... + 2073.

It is an arithmetic number, because the mean of its divisors is an integer number (97084).

2⁷⁷²⁷³¹ is an apocalyptic number.

772731 is a deficient number, since it is larger than the sum of its proper divisors (392277).

772731 is a wasteful number, since it uses less digits than its factorization.

772731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3759 counting only the distinct ones).

The product of its digits is 2058, while the sum is 27.

The square root of 772731 is about 879.0511930485. The cubic root of 772731 is about 91.7647977578.

The spelling of 772731 in words is "seven hundred seventy-two thousand, seven hundred thirty-one".