77346564 has 12 divisors (see below), whose sum is σ = 180475344. Its totient is φ = 25782184.

The previous prime is 77346553. The next prime is 77346593. The reversal of 77346564 is 46564377.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3222762 + ... + 3222785.

It is an arithmetic number, because the mean of its divisors is an integer number (15039612).

Almost surely, 2^77346564 is an apocalyptic number.

It is an amenable number.

77346564 is an abundant number, since it is smaller than the sum of its proper divisors (103128780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77346564 is a wasteful number, since it uses less digits than its factorization.

77346564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445554 (or 6445552 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 77346564 is about 8794.6895340313. The cubic root of 77346564 is about 426.0693973213.

The spelling of 77346564 in words is "seventy-seven million, three hundred forty-six thousand, five hundred sixty-four".