78264288 has 72 divisors (see below), whose sum is σ = 223508376. Its totient is φ = 25977600.

The previous prime is 78264271. The next prime is 78264299. The reversal of 78264288 is 88246287.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×78264288² = 12250597552293888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94918 + ... + 95738.

It is an arithmetic number, because the mean of its divisors is an integer number (3104283).

Almost surely, 2^78264288 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 78264288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111754188).

78264288 is an abundant number, since it is smaller than the sum of its proper divisors (145244088).

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

78264288 is a wasteful number, since it uses less digits than its factorization.

78264288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1157 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 78264288 is about 8846.7105751234. The cubic root of 78264288 is about 427.7478935715.

The spelling of 78264288 in words is "seventy-eight million, two hundred sixty-four thousand, two hundred eighty-eight".