78130368 has 168 divisors, whose sum is σ = 242498880. Its totient is φ = 23961600.

The previous prime is 78130361. The next prime is 78130369. The reversal of 78130368 is 86303187.

It is a super-2 number, since 2×78130368² = 12208708807630848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78130361) 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, 773518 + ... + 773618.

Almost surely, 2^78130368 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 78130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121249440).

78130368 is an abundant number, since it is smaller than the sum of its proper divisors (164368512).

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

78130368 is a wasteful number, since it uses less digits than its factorization.

78130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 78130368 is about 8839.1384195520. The cubic root of 78130368 is about 427.5037775392.

The spelling of 78130368 in words is "seventy-eight million, one hundred thirty thousand, three hundred sixty-eight".