978894720 has 320 divisors, whose sum is σ = 3652244640. Its totient is φ = 249384960.

The previous prime is 978894703. The next prime is 978894733. The reversal of 978894720 is 27498879.

978894720 is a `hidden beast` number, since 97 + 8 + 89 + 472 + 0 = 666.

978894720 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 (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1191910 + ... + 1192730.

Almost surely, 2^978894720 is an apocalyptic number.

978894720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826122320).

978894720 is an abundant number, since it is smaller than the sum of its proper divisors (2673349920).

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

978894720 is a wasteful number, since it uses less digits than its factorization.

978894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 978894720 is about 31287.2932673953. The cubic root of 978894720 is about 992.9148255272.

The spelling of 978894720 in words is "nine hundred seventy-eight million, eight hundred ninety-four thousand, seven hundred twenty".