978385744 has 90 divisors (see below), whose sum is σ = 2246334090. Its totient is φ = 411578496.

The previous prime is 978385741. The next prime is 978385763. The reversal of 978385744 is 447583879.

978385744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 897601600 + 80784144 = 29960^2 + 8988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978385741) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8975962 + ... + 8976070.

Almost surely, 2^978385744 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 978385744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123167045).

978385744 is an abundant number, since it is smaller than the sum of its proper divisors (1267948346).

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

978385744 is a wasteful number, since it uses less digits than its factorization.

978385744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 225 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 55.

The square root of 978385744 is about 31279.1583006960. The cubic root of 978385744 is about 992.7427071097.

The spelling of 978385744 in words is "nine hundred seventy-eight million, three hundred eighty-five thousand, seven hundred forty-four".