978895680 has 448 divisors, whose sum is σ = 3795320832. Its totient is φ = 209018880.

The previous prime is 978895633. The next prime is 978895681. The reversal of 978895680 is 86598879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978895681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7707777 + ... + 7707903.

Almost surely, 2^978895680 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 978895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897660416).

978895680 is an abundant number, since it is smaller than the sum of its proper divisors (2816425152).

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

978895680 is a wasteful number, since it uses less digits than its factorization.

978895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The square root of 978895680 is about 31287.3086090830. The cubic root of 978895680 is about 992.9151501103.

The spelling of 978895680 in words is "nine hundred seventy-eight million, eight hundred ninety-five thousand, six hundred eighty".