7160680800 has 576 divisors, whose sum is σ = 31882959360. Its totient is φ = 1510410240.

The previous prime is 7160680763. The next prime is 7160680801. The reversal of 7160680800 is 80860617.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7160680801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1963779 + ... + 1967421.

It is an arithmetic number, because the mean of its divisors is an integer number (55352360).

Almost surely, 2^7160680800 is an apocalyptic number.

7160680800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7160680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941479680).

7160680800 is an abundant number, since it is smaller than the sum of its proper divisors (24722278560).

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

7160680800 is a wasteful number, since it uses less digits than its factorization.

7160680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7160680800 is about 84620.8059522007. The cubic root of 7160680800 is about 1927.4573261911.

The spelling of 7160680800 in words is "seven billion, one hundred sixty million, six hundred eighty thousand, eight hundred".