978828880 has 80 divisors (see below), whose sum is σ = 2394489600. Its totient is φ = 371571200.

The previous prime is 978828869. The next prime is 978828899. The reversal of 978828880 is 88828879.

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

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133305 + ... + 140455.

It is an arithmetic number, because the mean of its divisors is an integer number (29931120).

Almost surely, 2^978828880 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 978828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197244800).

978828880 is an abundant number, since it is smaller than the sum of its proper divisors (1415660720).

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

978828880 is a wasteful number, since it uses less digits than its factorization.

978828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7246 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 58.

The square root of 978828880 is about 31286.2410653629. The cubic root of 978828880 is about 992.8925640329.

The spelling of 978828880 in words is "nine hundred seventy-eight million, eight hundred twenty-eight thousand, eight hundred eighty".