7978918780800 has 1536 divisors, whose sum is σ = 33203246284800. Its totient is φ = 1853660160000.

The previous prime is 7978918780799. The next prime is 7978918780883. The reversal of 7978918780800 is 80878198797.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3152475535 + ... + 3152478065.

It is an arithmetic number, because the mean of its divisors is an integer number (21616696800).

Almost surely, 2^{7978918780800} 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 7978918780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601623142400).

7978918780800 is an abundant number, since it is smaller than the sum of its proper divisors (25224327504000).

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

7978918780800 is a wasteful number, since it uses less digits than its factorization.

7978918780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 72.

The spelling of 7978918780800 in words is "seven trillion, nine hundred seventy-eight billion, nine hundred eighteen million, seven hundred eighty thousand, eight hundred".