78444720 has 160 divisors (see below), whose sum is σ = 282124800. Its totient is φ = 19996416.

The previous prime is 78444677. The next prime is 78444721. The reversal of 78444720 is 2744487.

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

It is not an unprimeable number, because it can be changed into a prime (78444721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48891 + ... + 50469.

It is an arithmetic number, because the mean of its divisors is an integer number (1763280).

Almost surely, 2^78444720 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 78444720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141062400).

78444720 is an abundant number, since it is smaller than the sum of its proper divisors (203680080).

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

78444720 is a wasteful number, since it uses less digits than its factorization.

78444720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 78444720 is about 8856.9023930492. The cubic root of 78444720 is about 428.0763540373.

The spelling of 78444720 in words is "seventy-eight million, four hundred forty-four thousand, seven hundred twenty".