978724720 has 80 divisors (see below), whose sum is σ = 2351099520. Its totient is φ = 378669312.

The previous prime is 978724717. The next prime is 978724729. The reversal of 978724720 is 27427879.

978724720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978724729) 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, 366751 + ... + 369409.

It is an arithmetic number, because the mean of its divisors is an integer number (29388744).

Almost surely, 2^978724720 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 978724720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175549760).

978724720 is an abundant number, since it is smaller than the sum of its proper divisors (1372374800).

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

978724720 is a wasteful number, since it uses less digits than its factorization.

978724720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 46.

The square root of 978724720 is about 31284.5763915703. The cubic root of 978724720 is about 992.8573439312.

The spelling of 978724720 in words is "nine hundred seventy-eight million, seven hundred twenty-four thousand, seven hundred twenty".