77986144 has 24 divisors (see below), whose sum is σ = 153997200. Its totient is φ = 38875776.

The previous prime is 77986109. The next prime is 77986147. The reversal of 77986144 is 44168977.

It is a junction number, because it is equal to n+sod(n) for n = 77986094 and 77986103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77986147) 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 3 ways as a sum of consecutive naturals, for example, 7677 + ... + 14659.

It is an arithmetic number, because the mean of its divisors is an integer number (6416550).

Almost surely, 2^77986144 is an apocalyptic number.

It is an amenable number.

77986144 is a deficient number, since it is larger than the sum of its proper divisors (76011056).

77986144 is a wasteful number, since it uses less digits than its factorization.

77986144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342 (or 7334 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The square root of 77986144 is about 8830.9763899582. The cubic root of 77986144 is about 427.2405666892.

The spelling of 77986144 in words is "seventy-seven million, nine hundred eighty-six thousand, one hundred forty-four".