77705657 has 8 divisors (see below), whose sum is σ = 82824192. Its totient is φ = 72648000.

The previous prime is 77705629. The next prime is 77705659. The reversal of 77705657 is 75650777.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77705657 - 2¹⁰ = 77704633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77705659) 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 7 ways as a sum of consecutive naturals, for example, 12569 + ... + 17702.

It is an arithmetic number, because the mean of its divisors is an integer number (10353024).

Almost surely, 2^77705657 is an apocalyptic number.

It is an amenable number.

77705657 is a deficient number, since it is larger than the sum of its proper divisors (5118535).

77705657 is a wasteful number, since it uses less digits than its factorization.

77705657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30439.

The product of its (nonzero) digits is 360150, while the sum is 44.

The square root of 77705657 is about 8815.0812248101. The cubic root of 77705657 is about 426.7277431962.

The spelling of 77705657 in words is "seventy-seven million, seven hundred five thousand, six hundred fifty-seven".