7922336400 has 360 divisors, whose sum is σ = 30808337664. Its totient is φ = 1868313600.

The previous prime is 7922336393. The next prime is 7922336423. The reversal of 7922336400 is 46332297.

It is a happy number.

7922336400 is a `hidden beast` number, since 7 + 9 + 2 + 2 + 3 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1462497 + ... + 1467903.

Almost surely, 2^7922336400 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 7922336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404168832).

7922336400 is an abundant number, since it is smaller than the sum of its proper divisors (22886001264).

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

7922336400 is a wasteful number, since it uses less digits than its factorization.

7922336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 7922336400 is about 89007.5075485209. The cubic root of 7922336400 is about 1993.5069764678.

Adding to 7922336400 its reverse (46332297), we get a palindrome (7968668697).

The spelling of 7922336400 in words is "seven billion, nine hundred twenty-two million, three hundred thirty-six thousand, four hundred".