7904304000 has 768 divisors, whose sum is σ = 31276627200. Its totient is φ = 1978214400.

The previous prime is 7904303977. The next prime is 7904304047. The reversal of 7904304000 is 4034097.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73871947 + ... + 73872053.

It is an arithmetic number, because the mean of its divisors is an integer number (40724775).

Almost surely, 2^7904304000 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 7904304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15638313600).

7904304000 is an abundant number, since it is smaller than the sum of its proper divisors (23372323200).

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

7904304000 is a wasteful number, since it uses less digits than its factorization.

7904304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7904304000 is about 88906.1527679609. The cubic root of 7904304000 is about 1991.9933226660.

Adding to 7904304000 its reverse (4034097), we get a palindrome (7908338097).

It can be divided in two parts, 790430 and 4000, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 7904304000 in words is "seven billion, nine hundred four million, three hundred four thousand".