78288768 has 112 divisors (see below), whose sum is σ = 234120600. Its totient is φ = 26065152.

The previous prime is 78288731. The next prime is 78288779. The reversal of 78288768 is 86788287.

It is a super-2 number, since 2×78288768² = 12258262389915648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 92893 + ... + 93731.

Almost surely, 2^78288768 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 78288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117060300).

78288768 is an abundant number, since it is smaller than the sum of its proper divisors (155831832).

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

78288768 is an frugal number, since it uses more digits than its factorization.

78288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 844 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The square root of 78288768 is about 8848.0940320501. The cubic root of 78288768 is about 427.7924868214.

The spelling of 78288768 in words is "seventy-eight million, two hundred eighty-eight thousand, seven hundred sixty-eight".