7047878400 has 324 divisors, whose sum is σ = 25886601832. Its totient is φ = 1828085760.

The previous prime is 7047878399. The next prime is 7047878413. The reversal of 7047878400 is 48787407.

7047878400 is a `hidden beast` number, since 70 + 478 + 78 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2129547 + ... + 2132853.

Almost surely, 2^7047878400 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 7047878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943300916).

7047878400 is an abundant number, since it is smaller than the sum of its proper divisors (18838723432).

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

7047878400 is a wasteful number, since it uses less digits than its factorization.

7047878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 7047878400 is about 83951.6432239417. The cubic root of 7047878400 is about 1917.2826142178.

The spelling of 7047878400 in words is "seven billion, forty-seven million, eight hundred seventy-eight thousand, four hundred".