78411168 has 144 divisors (see below), whose sum is σ = 248373216. Its totient is φ = 23262720.

The previous prime is 78411149. The next prime is 78411173. The reversal of 78411168 is 86111487.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×78411168² = 12296622534248448, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167671 + ... + 168137.

It is an arithmetic number, because the mean of its divisors is an integer number (1724814).

Almost surely, 2^78411168 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 78411168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124186608).

78411168 is an abundant number, since it is smaller than the sum of its proper divisors (169962048).

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

78411168 is a wasteful number, since it uses less digits than its factorization.

78411168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 78411168 is about 8855.0080745305. The cubic root of 78411168 is about 428.0153137444.

It can be divided in two parts, 7841 and 1168, that added together give a palindrome (9009).

The spelling of 78411168 in words is "seventy-eight million, four hundred eleven thousand, one hundred sixty-eight".