7978758876000 has 1440 divisors, whose sum is σ = 32944512785184. Its totient is φ = 1888862976000.

The previous prime is 7978758875903. The next prime is 7978758876001. The reversal of 7978758876000 is 6788578797.

7978758876000 is a `hidden beast` number, since 7 + 9 + 7 + 8 + 7 + 5 + 8 + 8 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7978758876000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7978758876001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1685769634 + ... + 1685774366.

Almost surely, 2^{7978758876000} 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 7978758876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472256392592).

7978758876000 is an abundant number, since it is smaller than the sum of its proper divisors (24965753909184).

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

7978758876000 is a wasteful number, since it uses less digits than its factorization.

7978758876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 72.

The spelling of 7978758876000 in words is "seven trillion, nine hundred seventy-eight billion, seven hundred fifty-eight million, eight hundred seventy-six thousand".