978416712 has 288 divisors, whose sum is σ = 3429712800. Its totient is φ = 257572224.

The previous prime is 978416701. The next prime is 978416741. The reversal of 978416712 is 217614879.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 1788423 + ... + 1788969.

It is an arithmetic number, because the mean of its divisors is an integer number (11908725).

Almost surely, 2^978416712 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 978416712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714856400).

978416712 is an abundant number, since it is smaller than the sum of its proper divisors (2451296088).

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

978416712 is a wasteful number, since it uses less digits than its factorization.

978416712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 572 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 978416712 is about 31279.6533228871. The cubic root of 978416712 is about 992.7531811420.

The spelling of 978416712 in words is "nine hundred seventy-eight million, four hundred sixteen thousand, seven hundred twelve".