77666432 has 32 divisors (see below), whose sum is σ = 155366400. Its totient is φ = 38672640.

The previous prime is 77666431. The next prime is 77666443. The reversal of 77666432 is 23466677.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×77666432² = 12064149319221248, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 77666432.

It is not an unprimeable number, because it can be changed into a prime (77666431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33569 + ... + 35807.

It is an arithmetic number, because the mean of its divisors is an integer number (4855200).

Almost surely, 2^77666432 is an apocalyptic number.

It is an amenable number.

77666432 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

77666432 is a wasteful number, since it uses less digits than its factorization.

77666432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2512 counting only the distinct ones).

The product of its digits is 254016, while the sum is 41.

The square root of 77666432 is about 8812.8560637287. The cubic root of 77666432 is about 426.6559285492.

The spelling of 77666432 in words is "seventy-seven million, six hundred sixty-six thousand, four hundred thirty-two".