77561607 has 16 divisors (see below), whose sum is σ = 105235200. Its totient is φ = 50803200.

The previous prime is 77561569. The next prime is 77561621. The reversal of 77561607 is 70616577.

It is not a de Polignac number, because 77561607 - 2¹⁰ = 77560583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77561677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95232 + ... + 96042.

It is an arithmetic number, because the mean of its divisors is an integer number (6577200).

Almost surely, 2^77561607 is an apocalyptic number.

77561607 is a deficient number, since it is larger than the sum of its proper divisors (27673593).

77561607 is a wasteful number, since it uses less digits than its factorization.

77561607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334.

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 77561607 is about 8806.9067782054. The cubic root of 77561607 is about 426.4638921579.

The spelling of 77561607 in words is "seventy-seven million, five hundred sixty-one thousand, six hundred seven".