7978003200 has 432 divisors, whose sum is σ = 29555504160. Its totient is φ = 2105671680.

The previous prime is 7978003141. The next prime is 7978003213. The reversal of 7978003200 is 23008797.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23673432 + ... + 23673768.

Almost surely, 2^7978003200 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 7978003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14777752080).

7978003200 is an abundant number, since it is smaller than the sum of its proper divisors (21577500960).

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

7978003200 is a wasteful number, since it uses less digits than its factorization.

7978003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7978003200 is about 89319.6686066400. The cubic root of 7978003200 is about 1998.1652506955.

The spelling of 7978003200 in words is "seven billion, nine hundred seventy-eight million, three thousand, two hundred".