77725827 has 36 divisors (see below), whose sum is σ = 121249440. Its totient is φ = 47951136.

The previous prime is 77725793. The next prime is 77725841. The reversal of 77725827 is 72852777.

It is a happy number.

It is not a de Polignac number, because 77725827 - 2¹² = 77721731 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77725847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 152449 + ... + 152957.

It is an arithmetic number, because the mean of its divisors is an integer number (3368040).

Almost surely, 2^77725827 is an apocalyptic number.

77725827 is a deficient number, since it is larger than the sum of its proper divisors (43523613).

77725827 is a wasteful number, since it uses less digits than its factorization.

77725827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 578 counting only the distinct ones).

The product of its digits is 384160, while the sum is 45.

The square root of 77725827 is about 8816.2252126406. The cubic root of 77725827 is about 426.7646618037.

It can be divided in two parts, 77 and 725827, that added together give a square (725904 = 852²).

The spelling of 77725827 in words is "seventy-seven million, seven hundred twenty-five thousand, eight hundred twenty-seven".