7116886800 has 720 divisors, whose sum is σ = 27956335680. Its totient is φ = 1731870720.

The previous prime is 7116886793. The next prime is 7116886801. The reversal of 7116886800 is 86886117.

It is a tau number, because it is divible by the number of its divisors (720).

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 (7116886801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97491564 + ... + 97491636.

It is an arithmetic number, because the mean of its divisors is an integer number (38828244).

Almost surely, 2^7116886800 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 7116886800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13978167840).

7116886800 is an abundant number, since it is smaller than the sum of its proper divisors (20839448880).

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

7116886800 is a wasteful number, since it uses less digits than its factorization.

7116886800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 7116886800 is about 84361.6429427498. The cubic root of 7116886800 is about 1923.5199102399.

The spelling of 7116886800 in words is "seven billion, one hundred sixteen million, eight hundred eighty-six thousand, eight hundred".