77309664 has 24 divisors (see below), whose sum is σ = 202938120. Its totient is φ = 25769856.

The previous prime is 77309663. The next prime is 77309671. The reversal of 77309664 is 46690377.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77309663) 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 3 ways as a sum of consecutive naturals, for example, 402559 + ... + 402750.

It is an arithmetic number, because the mean of its divisors is an integer number (8455755).

Almost surely, 2^77309664 is an apocalyptic number.

It is an amenable number.

77309664 is an abundant number, since it is smaller than the sum of its proper divisors (125628456).

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

77309664 is a wasteful number, since it uses less digits than its factorization.

77309664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805322 (or 805314 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 77309664 is about 8792.5914268775. The cubic root of 77309664 is about 426.0016310634.

The spelling of 77309664 in words is "seventy-seven million, three hundred nine thousand, six hundred sixty-four".