78437820984000 has 448 divisors, whose sum is σ = 259618730342400. Its totient is φ = 20866987008000.

The previous prime is 78437820983947. The next prime is 78437820984007. The reversal of 78437820984000 is 48902873487.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (78437820984007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26418934516 + ... + 26418937484.

Almost surely, 2^{78437820984000} 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 78437820984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129809365171200).

78437820984000 is an abundant number, since it is smaller than the sum of its proper divisors (181180909358400).

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

78437820984000 is a wasteful number, since it uses less digits than its factorization.

78437820984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 78437820984000 in words is "seventy-eight trillion, four hundred thirty-seven billion, eight hundred twenty million, nine hundred eighty-four thousand".