78236160 has 160 divisors (see below), whose sum is σ = 255733632. Its totient is φ = 20398080.

The previous prime is 78236143. The next prime is 78236161. The reversal of 78236160 is 6163287.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×78236160² = 12241793463091200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78236161) 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, 468397 + ... + 468563.

Almost surely, 2^78236160 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 78236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

78236160 is an abundant number, since it is smaller than the sum of its proper divisors (177497472).

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

78236160 is a wasteful number, since it uses less digits than its factorization.

78236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 78236160 is about 8845.1206888318. The cubic root of 78236160 is about 427.6966435709.

The spelling of 78236160 in words is "seventy-eight million, two hundred thirty-six thousand, one hundred sixty".