78750144 has 140 divisors (see below), whose sum is σ = 254846328. Its totient is φ = 23846400.

The previous prime is 78750121. The next prime is 78750149. The reversal of 78750144 is 44105787.

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

It is a junction number, because it is equal to n+sod(n) for n = 78750099 and 78750108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78750149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56334 + ... + 57714.

Almost surely, 2^78750144 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 78750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127423164).

78750144 is an abundant number, since it is smaller than the sum of its proper divisors (176096184).

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

78750144 is a wasteful number, since it uses less digits than its factorization.

78750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 78750144 is about 8874.1277881266. The cubic root of 78750144 is about 428.6312053763.

The spelling of 78750144 in words is "seventy-eight million, seven hundred fifty thousand, one hundred forty-four".