978300672 has 72 divisors (see below), whose sum is σ = 2667297360. Its totient is φ = 318136320.

The previous prime is 978300619. The next prime is 978300677. The reversal of 978300672 is 276003879.

978300672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978300677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15954 + ... + 47022.

Almost surely, 2^978300672 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 978300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333648680).

978300672 is an abundant number, since it is smaller than the sum of its proper divisors (1688996688).

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

978300672 is a wasteful number, since it uses less digits than its factorization.

978300672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31129 (or 31115 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 978300672 is about 31277.7983879940. The cubic root of 978300672 is about 992.7139328230.

The spelling of 978300672 in words is "nine hundred seventy-eight million, three hundred thousand, six hundred seventy-two".