772961 has 8 divisors (see below), whose sum is σ = 921984. Its totient is φ = 633600.

The previous prime is 772949. The next prime is 772963. The reversal of 772961 is 169277.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 772961 - 2¹⁰ = 771937 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772961.

It is not an unprimeable number, because it can be changed into a prime (772963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2240 + ... + 2561.

It is an arithmetic number, because the mean of its divisors is an integer number (115248).

2⁷⁷²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

772961 is a deficient number, since it is larger than the sum of its proper divisors (149023).

772961 is a wasteful number, since it uses less digits than its factorization.

772961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831.

The product of its digits is 5292, while the sum is 32.

The square root of 772961 is about 879.1820061853. The cubic root of 772961 is about 91.7739013181.

The spelling of 772961 in words is "seven hundred seventy-two thousand, nine hundred sixty-one".