7916122800 has 360 divisors, whose sum is σ = 28711912320. Its totient is φ = 2017382400.

The previous prime is 7916122729. The next prime is 7916122871. The reversal of 7916122800 is 82216197.

It is an interprime number because it is at equal distance from previous prime (7916122729) and next prime (7916122871).

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9932002 + ... + 9932798.

It is an arithmetic number, because the mean of its divisors is an integer number (79755312).

Almost surely, 2^7916122800 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 7916122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14355956160).

7916122800 is an abundant number, since it is smaller than the sum of its proper divisors (20795789520).

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

7916122800 is a wasteful number, since it uses less digits than its factorization.

7916122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7916122800 is about 88972.5957809482. The cubic root of 7916122800 is about 1992.9856616212.

Adding to 7916122800 its reverse (82216197), we get a palindrome (7998338997).

The spelling of 7916122800 in words is "seven billion, nine hundred sixteen million, one hundred twenty-two thousand, eight hundred".