78103168 has 128 divisors (see below), whose sum is σ = 194322240. Its totient is φ = 30720000.

The previous prime is 78103163. The next prime is 78103213. The reversal of 78103168 is 86130187.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×78103168² = 12200209703272448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (78103163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311043 + ... + 311293.

Almost surely, 2^78103168 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 78103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97161120).

78103168 is an abundant number, since it is smaller than the sum of its proper divisors (116219072).

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

78103168 is a wasteful number, since it uses less digits than its factorization.

78103168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 78103168 is about 8837.5996741197. The cubic root of 78103168 is about 427.4541619514.

The spelling of 78103168 in words is "seventy-eight million, one hundred three thousand, one hundred sixty-eight".