77116573 has 16 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 68428800.

The previous prime is 77116553. The next prime is 77116603. The reversal of 77116573 is 37561177.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 77116573 - 2²¹ = 75019421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77116513) 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 15 ways as a sum of consecutive naturals, for example, 87093 + ... + 87973.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^77116573 is an apocalyptic number.

It is an amenable number.

77116573 is a deficient number, since it is larger than the sum of its proper divisors (9248867).

77116573 is a wasteful number, since it uses less digits than its factorization.

77116573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188.

The product of its digits is 30870, while the sum is 37.

The square root of 77116573 is about 8781.6042384066. The cubic root of 77116573 is about 425.6466704437.

The spelling of 77116573 in words is "seventy-seven million, one hundred sixteen thousand, five hundred seventy-three".