78833664 has 288 divisors, whose sum is σ = 286191360. Its totient is φ = 20348928.

The previous prime is 78833653. The next prime is 78833669. The reversal of 78833664 is 46633887.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (580608) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78833669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677289 + ... + 1677335.

It is an arithmetic number, because the mean of its divisors is an integer number (993720).

Almost surely, 2^78833664 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 78833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

78833664 is an abundant number, since it is smaller than the sum of its proper divisors (207357696).

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

78833664 is a wasteful number, since it uses less digits than its factorization.

78833664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 78833664 is about 8878.8323556648. The cubic root of 78833664 is about 428.7826828976.

It can be divided in two parts, 78833 and 664, that added together give a palindrome (79497).

The spelling of 78833664 in words is "seventy-eight million, eight hundred thirty-three thousand, six hundred sixty-four".