78195144 has 64 divisors (see below), whose sum is σ = 203120640. Its totient is φ = 25058880.

The previous prime is 78195137. The next prime is 78195149. The reversal of 78195144 is 44159187.

It is a super-2 number, since 2×78195144² = 12228961090361472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78195149) 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 15 ways as a sum of consecutive naturals, for example, 168657 + ... + 169119.

It is an arithmetic number, because the mean of its divisors is an integer number (3173760).

Almost surely, 2^78195144 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 78195144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101560320).

78195144 is an abundant number, since it is smaller than the sum of its proper divisors (124925496).

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

78195144 is a wasteful number, since it uses less digits than its factorization.

78195144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 78195144 is about 8842.8018184284. The cubic root of 78195144 is about 427.6218892543.

The spelling of 78195144 in words is "seventy-eight million, one hundred ninety-five thousand, one hundred forty-four".