78766101 has 20 divisors (see below), whose sum is σ = 117938700. Its totient is φ = 52387776.

The previous prime is 78766091. The next prime is 78766111. The reversal of 78766101 is 10166787.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78766091) and next prime (78766111).

It can be written as a sum of positive squares in 2 ways, for example, as 13883076 + 64883025 = 3726^2 + 8055^2 .

It is not a de Polignac number, because 78766101 - 2¹¹ = 78764053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78766111) 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 19 ways as a sum of consecutive naturals, for example, 45235 + ... + 46943.

It is an arithmetic number, because the mean of its divisors is an integer number (5896935).

Almost surely, 2^78766101 is an apocalyptic number.

It is an amenable number.

78766101 is a deficient number, since it is larger than the sum of its proper divisors (39172599).

78766101 is a wasteful number, since it uses less digits than its factorization.

78766101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 78766101 is about 8875.0268168609. The cubic root of 78766101 is about 428.6601543444.

The spelling of 78766101 in words is "seventy-eight million, seven hundred sixty-six thousand, one hundred one".