77006657 has 16 divisors (see below), whose sum is σ = 97343232. Its totient is φ = 59279040.

The previous prime is 77006641. The next prime is 77006669. The reversal of 77006657 is 75660077.

It is a cyclic number.

It is not a de Polignac number, because 77006657 - 2⁴ = 77006641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77006657.

It is not an unprimeable number, because it can be changed into a prime (77006057) 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 15 ways as a sum of consecutive naturals, for example, 8069 + ... + 14802.

It is an arithmetic number, because the mean of its divisors is an integer number (6083952).

Almost surely, 2^77006657 is an apocalyptic number.

It is an amenable number.

77006657 is a deficient number, since it is larger than the sum of its proper divisors (20336575).

77006657 is a wasteful number, since it uses less digits than its factorization.

77006657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22928.

The product of its (nonzero) digits is 61740, while the sum is 38.

The square root of 77006657 is about 8775.3436969728. The cubic root of 77006657 is about 425.4443463374. Note that the first 3 decimals are identical.

The spelling of 77006657 in words is "seventy-seven million, six thousand, six hundred fifty-seven".