77064561 has 32 divisors (see below), whose sum is σ = 132710400. Its totient is φ = 43284240.

The previous prime is 77064487. The next prime is 77064569. The reversal of 77064561 is 16546077.

77064561 is a `hidden beast` number, since 7 + 7 + 0 + 645 + 6 + 1 = 666.

It is not a de Polignac number, because 77064561 - 2⁷ = 77064433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77064569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7696 + ... + 14606.

It is an arithmetic number, because the mean of its divisors is an integer number (4147200).

Almost surely, 2^77064561 is an apocalyptic number.

It is an amenable number.

77064561 is a deficient number, since it is larger than the sum of its proper divisors (55645839).

77064561 is a wasteful number, since it uses less digits than its factorization.

77064561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 77064561 is about 8778.6423209970. The cubic root of 77064561 is about 425.5509551180.

The spelling of 77064561 in words is "seventy-seven million, sixty-four thousand, five hundred sixty-one".