77824642 has 32 divisors (see below), whose sum is σ = 139507200. Its totient is φ = 32528160.

The previous prime is 77824639. The next prime is 77824651. The reversal of 77824642 is 24642877.

It is a junction number, because it is equal to n+sod(n) for n = 77824595 and 77824604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26743 + ... + 29509.

It is an arithmetic number, because the mean of its divisors is an integer number (4359600).

Almost surely, 2^77824642 is an apocalyptic number.

77824642 is a deficient number, since it is larger than the sum of its proper divisors (61682558).

77824642 is a wasteful number, since it uses less digits than its factorization.

77824642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2817 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 77824642 is about 8821.8275884309. The cubic root of 77824642 is about 426.9454378012.

The spelling of 77824642 in words is "seventy-seven million, eight hundred twenty-four thousand, six hundred forty-two".