77666677 has 16 divisors (see below), whose sum is σ = 87246720. Its totient is φ = 68536000.

The previous prime is 77666657. The next prime is 77666681.

77666677 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 77666677 - 2¹⁵ = 77633909 is a prime.

It is a super-2 number, since 2×77666677² = 12064225432444658, which contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77666627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58224 + ... + 59542.

It is an arithmetic number, because the mean of its divisors is an integer number (5452920).

Almost surely, 2^77666677 is an apocalyptic number.

It is an amenable number.

77666677 is a deficient number, since it is larger than the sum of its proper divisors (9580043).

77666677 is a wasteful number, since it uses less digits than its factorization.

77666677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484.

The product of its digits is 3111696, while the sum is 52.

The square root of 77666677 is about 8812.8699638653. The cubic root of 77666677 is about 426.6563771797.

The spelling of 77666677 in words is "seventy-seven million, six hundred sixty-six thousand, six hundred seventy-seven".