77561667 has 24 divisors (see below), whose sum is σ = 124871760. Its totient is φ = 46103040.

The previous prime is 77561663. The next prime is 77561669. The reversal of 77561667 is 76616577.

It is not a de Polignac number, because 77561667 - 2² = 77561663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77561663) 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 23 ways as a sum of consecutive naturals, for example, 10434 + ... + 16247.

It is an arithmetic number, because the mean of its divisors is an integer number (5202990).

Almost surely, 2^77561667 is an apocalyptic number.

77561667 is a deficient number, since it is larger than the sum of its proper divisors (47310093).

77561667 is a wasteful number, since it uses less digits than its factorization.

77561667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26723 (or 26720 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 77561667 is about 8806.9101846221. The cubic root of 77561667 is about 426.4640021257.

The spelling of 77561667 in words is "seventy-seven million, five hundred sixty-one thousand, six hundred sixty-seven".