777345993 has 36 divisors (see below), whose sum is σ = 1203063888. Its totient is φ = 483492240.

The previous prime is 777345977. The next prime is 777346001. The reversal of 777345993 is 399543777.

It is a happy number.

It is not a de Polignac number, because 777345993 - 2⁴ = 777345977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (777345953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215898 + ... + 219468.

Almost surely, 2^777345993 is an apocalyptic number.

It is an amenable number.

777345993 is a deficient number, since it is larger than the sum of its proper divisors (425717895).

777345993 is a wasteful number, since it uses less digits than its factorization.

777345993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3660 counting only the distinct ones).

The product of its digits is 5000940, while the sum is 54.

The square root of 777345993 is about 27880.9252536568. The cubic root of 777345993 is about 919.4711804165.

The spelling of 777345993 in words is "seven hundred seventy-seven million, three hundred forty-five thousand, nine hundred ninety-three".