77630013 has 24 divisors (see below), whose sum is σ = 116519520. Its totient is φ = 49744800.

The previous prime is 77629999. The next prime is 77630023. The reversal of 77630013 is 31003677.

It is not a de Polignac number, because 77630013 - 2⁴ = 77629997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77630023) 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, 73338 + ... + 74388.

It is an arithmetic number, because the mean of its divisors is an integer number (4854980).

Almost surely, 2^77630013 is an apocalyptic number.

It is an amenable number.

77630013 is a deficient number, since it is larger than the sum of its proper divisors (38889507).

77630013 is a wasteful number, since it uses less digits than its factorization.

77630013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 77630013 is about 8810.7895786927. The cubic root of 77630013 is about 426.5892295853.

The spelling of 77630013 in words is "seventy-seven million, six hundred thirty thousand, thirteen".