978209930880 has 4096 divisors, whose sum is σ = 4950960537600. Its totient is φ = 176579149824.

The previous prime is 978209930879. The next prime is 978209930899. The reversal of 978209930880 is 88039902879.

978209930880 is a `hidden beast` number, since 97 + 82 + 0 + 99 + 308 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 22749068139 + ... + 22749068181.

It is an arithmetic number, because the mean of its divisors is an integer number (1208730600).

Almost surely, 2^978209930880 is an apocalyptic number.

978209930880 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 978209930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475480268800).

978209930880 is an abundant number, since it is smaller than the sum of its proper divisors (3972750606720).

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

978209930880 is a wasteful number, since it uses less digits than its factorization.

978209930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 978209930880 in words is "nine hundred seventy-eight billion, two hundred nine million, nine hundred thirty thousand, eight hundred eighty".