978762412800 has 648 divisors, whose sum is σ = 3712131783360. Its totient is φ = 245342822400.

The previous prime is 978762412769. The next prime is 978762412801. The reversal of 978762412800 is 8214267879.

It is a happy number.

978762412800 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 624 + 1 + 2 + 8 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (978762412801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 143362987 + ... + 143369813.

Almost surely, 2^978762412800 is an apocalyptic number.

978762412800 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 978762412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856065891680).

978762412800 is an abundant number, since it is smaller than the sum of its proper divisors (2733369370560).

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

978762412800 is a wasteful number, since it uses less digits than its factorization.

978762412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 978762412800 in words is "nine hundred seventy-eight billion, seven hundred sixty-two million, four hundred twelve thousand, eight hundred".