978785280 has 264 divisors, whose sum is σ = 3701696544. Its totient is φ = 237158400.

The previous prime is 978785267. The next prime is 978785287. The reversal of 978785280 is 82587879.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978785287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505915 + ... + 507845.

Almost surely, 2^978785280 is an apocalyptic number.

978785280 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 978785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850848272).

978785280 is an abundant number, since it is smaller than the sum of its proper divisors (2722911264).

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

978785280 is a wasteful number, since it uses less digits than its factorization.

978785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 978785280 is about 31285.5442656828. The cubic root of 978785280 is about 992.8778216676.

The spelling of 978785280 in words is "nine hundred seventy-eight million, seven hundred eighty-five thousand, two hundred eighty".