7978036896 has 288 divisors, whose sum is σ = 25065936000. Its totient is φ = 2467897344.

The previous prime is 7978036877. The next prime is 7978036919. The reversal of 7978036896 is 6986308797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22222765 + ... + 22223123.

It is an arithmetic number, because the mean of its divisors is an integer number (87034500).

Almost surely, 2^7978036896 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 7978036896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12532968000).

7978036896 is an abundant number, since it is smaller than the sum of its proper divisors (17087899104).

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

7978036896 is a wasteful number, since it uses less digits than its factorization.

7978036896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The square root of 7978036896 is about 89319.8572323087. The cubic root of 7978036896 is about 1998.1680638506.

The spelling of 7978036896 in words is "seven billion, nine hundred seventy-eight million, thirty-six thousand, eight hundred ninety-six".