77664069 has 48 divisors (see below), whose sum is σ = 136800000. Its totient is φ = 43400448.

The previous prime is 77664061. The next prime is 77664071. The reversal of 77664069 is 96046677.

It is not a de Polignac number, because 77664069 - 2³ = 77664061 is a prime.

It is a super-2 number, since 2×77664069² = 12063415227273522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77664061) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 61557 + ... + 62805.

It is an arithmetic number, because the mean of its divisors is an integer number (2850000).

Almost surely, 2^77664069 is an apocalyptic number.

It is an amenable number.

77664069 is a deficient number, since it is larger than the sum of its proper divisors (59135931).

77664069 is a wasteful number, since it uses less digits than its factorization.

77664069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 77664069 is about 8812.7219972038. The cubic root of 77664069 is about 426.6516015053.

The spelling of 77664069 in words is "seventy-seven million, six hundred sixty-four thousand, sixty-nine".