776993 has 12 divisors (see below), whose sum is σ = 918612. Its totient is φ = 655200.

The previous prime is 776987. The next prime is 777001. The reversal of 776993 is 399677.

It can be written as a sum of positive squares in 2 ways, for example, as 529984 + 247009 = 728^2 + 497^2 .

It is not a de Polignac number, because 776993 - 2⁴ = 776977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 776993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (776983) 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 11 ways as a sum of consecutive naturals, for example, 4871 + ... + 5027.

It is an arithmetic number, because the mean of its divisors is an integer number (76551).

2⁷⁷⁶⁹⁹³ is an apocalyptic number.

It is an amenable number.

776993 is a deficient number, since it is larger than the sum of its proper divisors (141619).

776993 is a wasteful number, since it uses less digits than its factorization.

776993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its digits is 71442, while the sum is 41.

The square root of 776993 is about 881.4720642198. The cubic root of 776993 is about 91.9331981984.

The spelling of 776993 in words is "seven hundred seventy-six thousand, nine hundred ninety-three".