772833 has 4 divisors (see below), whose sum is σ = 1030448. Its totient is φ = 515220.

The previous prime is 772789. The next prime is 772843. The reversal of 772833 is 338277.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 338277 = 3 ⋅112759.

It is not a de Polignac number, because 772833 - 2¹⁰ = 771809 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 772833.

It is not an unprimeable number, because it can be changed into a prime (772843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128803 + ... + 128808.

It is an arithmetic number, because the mean of its divisors is an integer number (257612).

2⁷⁷²⁸³³ is an apocalyptic number.

It is an amenable number.

772833 is a deficient number, since it is larger than the sum of its proper divisors (257615).

772833 is a wasteful number, since it uses less digits than its factorization.

772833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257614.

The product of its digits is 7056, while the sum is 30.

The square root of 772833 is about 879.1092082330. The cubic root of 772833 is about 91.7688352118.

The spelling of 772833 in words is "seven hundred seventy-two thousand, eight hundred thirty-three".