77763147 has 24 divisors (see below), whose sum is σ = 131579712. Its totient is φ = 40395600.

The previous prime is 77763139. The next prime is 77763157. The reversal of 77763147 is 74136777.

It is not a de Polignac number, because 77763147 - 2³ = 77763139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77763099 and 77763108.

It is not an unprimeable number, because it can be changed into a prime (77763157) 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 23 ways as a sum of consecutive naturals, for example, 22429 + ... + 25662.

It is an arithmetic number, because the mean of its divisors is an integer number (5482488).

Almost surely, 2^77763147 is an apocalyptic number.

77763147 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

77763147 is a deficient number, since it is larger than the sum of its proper divisors (53816565).

77763147 is a wasteful number, since it uses less digits than its factorization.

77763147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48119 (or 48112 counting only the distinct ones).

The product of its digits is 172872, while the sum is 42.

The square root of 77763147 is about 8818.3415107377. The cubic root of 77763147 is about 426.8329544566.

It can be divided in two parts, 77763 and 147, that multiplied together give a square (11431161 = 3381²).

The spelling of 77763147 in words is "seventy-seven million, seven hundred sixty-three thousand, one hundred forty-seven".