7920638400 has 84 divisors (see below), whose sum is σ = 25986310232. Its totient is φ = 2112168960.

The previous prime is 7920638389. The next prime is 7920638413. The reversal of 7920638400 is 48360297.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820267 + ... + 829866.

Almost surely, 2^7920638400 is an apocalyptic number.

It is an amenable number.

7920638400 is an abundant number, since it is smaller than the sum of its proper divisors (18065671832).

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

7920638400 is a wasteful number, since it uses less digits than its factorization.

7920638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650158 (or 1650143 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7920638400 is about 88997.9685161409. The cubic root of 7920638400 is about 1993.3645430350.

Adding to 7920638400 its reverse (48360297), we get a palindrome (7968998697).

The spelling of 7920638400 in words is "seven billion, nine hundred twenty million, six hundred thirty-eight thousand, four hundred".