77784993 has 48 divisors (see below), whose sum is σ = 138989760. Its totient is φ = 41212800.

The previous prime is 77784961. The next prime is 77785033. The reversal of 77784993 is 39948777.

It is not a de Polignac number, because 77784993 - 2⁵ = 77784961 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77784193) 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 47 ways as a sum of consecutive naturals, for example, 22863 + ... + 26043.

It is an arithmetic number, because the mean of its divisors is an integer number (2895620).

Almost surely, 2^77784993 is an apocalyptic number.

It is an amenable number.

77784993 is a deficient number, since it is larger than the sum of its proper divisors (61204767).

77784993 is a wasteful number, since it uses less digits than its factorization.

77784993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3227 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 77784993 is about 8819.5800920452. The cubic root of 77784993 is about 426.8729207733.

The spelling of 77784993 in words is "seventy-seven million, seven hundred eighty-four thousand, nine hundred ninety-three".