78845144 has 64 divisors (see below), whose sum is σ = 174873600. Its totient is φ = 32626944.

The previous prime is 78845141. The next prime is 78845147. The reversal of 78845144 is 44154887.

It is an interprime number because it is at equal distance from previous prime (78845141) and next prime (78845147).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78845141) 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, 329777 + ... + 330015.

It is an arithmetic number, because the mean of its divisors is an integer number (2732400).

Almost surely, 2^78845144 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 78845144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87436800).

78845144 is an abundant number, since it is smaller than the sum of its proper divisors (96028456).

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

78845144 is a wasteful number, since it uses less digits than its factorization.

78845144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its digits is 143360, while the sum is 41.

The square root of 78845144 is about 8879.4788135340. The cubic root of 78845144 is about 428.8034954373.

The spelling of 78845144 in words is "seventy-eight million, eight hundred forty-five thousand, one hundred forty-four".