978888240 has 400 divisors, whose sum is σ = 3837182976. Its totient is φ = 229132800.

The previous prime is 978888233. The next prime is 978888269. The reversal of 978888240 is 42888879.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2209459 + ... + 2209901.

Almost surely, 2^978888240 is an apocalyptic number.

978888240 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 978888240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918591488).

978888240 is an abundant number, since it is smaller than the sum of its proper divisors (2858294736).

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

978888240 is a wasteful number, since it uses less digits than its factorization.

978888240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 978888240 is about 31287.1897108066. The cubic root of 978888240 is about 992.9126345860.

The spelling of 978888240 in words is "nine hundred seventy-eight million, eight hundred eighty-eight thousand, two hundred forty".