78612768 has 120 divisors (see below), whose sum is σ = 249089148. Its totient is φ = 24178176.

The previous prime is 78612763. The next prime is 78612791. The reversal of 78612768 is 86721687.

It can be written as a sum of positive squares in 2 ways, for example, as 72795024 + 5817744 = 8532^2 + 2412^2 .

It is not an unprimeable number, because it can be changed into a prime (78612763) 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, 32530 + ... + 34862.

Almost surely, 2^78612768 is an apocalyptic number.

78612768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78612768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124544574).

78612768 is an abundant number, since it is smaller than the sum of its proper divisors (170476380).

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

78612768 is a wasteful number, since it uses less digits than its factorization.

78612768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2351 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 78612768 is about 8866.3841559003. The cubic root of 78612768 is about 428.3818178381.

The spelling of 78612768 in words is "seventy-eight million, six hundred twelve thousand, seven hundred sixty-eight".