77768047 has 16 divisors (see below), whose sum is σ = 96033600. Its totient is φ = 62732544.

The previous prime is 77768029. The next prime is 77768051. The reversal of 77768047 is 74086777.

It is not a de Polignac number, because 77768047 - 2⁷ = 77767919 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77767988 and 77768006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77768087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838 + ... + 12499.

It is an arithmetic number, because the mean of its divisors is an integer number (6002100).

Almost surely, 2^77768047 is an apocalyptic number.

77768047 is a deficient number, since it is larger than the sum of its proper divisors (18265553).

77768047 is a wasteful number, since it uses less digits than its factorization.

77768047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13375 (or 13361 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 46.

The square root of 77768047 is about 8818.6193363814. The cubic root of 77768047 is about 426.8419194468.

The spelling of 77768047 in words is "seventy-seven million, seven hundred sixty-eight thousand, forty-seven".