7935904800 has 576 divisors, whose sum is σ = 30804278400. Its totient is φ = 1965772800.

The previous prime is 7935904771. The next prime is 7935904807. The reversal of 7935904800 is 84095397.

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

It is not an unprimeable number, because it can be changed into a prime (7935904807) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 25034242 + ... + 25034558.

It is an arithmetic number, because the mean of its divisors is an integer number (53479650).

Almost surely, 2^7935904800 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 7935904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402139200).

7935904800 is an abundant number, since it is smaller than the sum of its proper divisors (22868373600).

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

7935904800 is a wasteful number, since it uses less digits than its factorization.

7935904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7935904800 is about 89083.6954779044. The cubic root of 7935904800 is about 1994.6444049350.

The spelling of 7935904800 in words is "seven billion, nine hundred thirty-five million, nine hundred four thousand, eight hundred".