7978371200 has 72 divisors (see below), whose sum is σ = 19721560005. Its totient is φ = 3189327360.

The previous prime is 7978371113. The next prime is 7978371211. The reversal of 7978371200 is 21738797.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7818803776 + 159567424 = 88424^2 + 12632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=63160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5052011 + ... + 5053589.

Almost surely, 2^7978371200 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 7978371200

7978371200 is an abundant number, since it is smaller than the sum of its proper divisors (11743188805).

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

7978371200 is an frugal number, since it uses more digits than its factorization.

7978371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 44.

The square root of 7978371200 is about 89321.7285994847. The cubic root of 7978371200 is about 1998.1959732330.

The spelling of 7978371200 in words is "seven billion, nine hundred seventy-eight million, three hundred seventy-one thousand, two hundred".