78666336 has 96 divisors (see below), whose sum is σ = 262241280. Its totient is φ = 22474368.

The previous prime is 78666323. The next prime is 78666337. The reversal of 78666336 is 63366687.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 78666291 and 78666300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78666337) 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, 456 + ... + 12551.

It is an arithmetic number, because the mean of its divisors is an integer number (2731680).

Almost surely, 2^78666336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78666336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131120640).

78666336 is an abundant number, since it is smaller than the sum of its proper divisors (183574944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78666336 is a wasteful number, since it uses less digits than its factorization.

78666336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13033 (or 13019 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 78666336 is about 8869.4044895923. The cubic root of 78666336 is about 428.4790978241.

The spelling of 78666336 in words is "seventy-eight million, six hundred sixty-six thousand, three hundred thirty-six".