7960680000 has 1120 divisors, whose sum is σ = 36437336320. Its totient is φ = 1679616000.

The previous prime is 7960679989. The next prime is 7960680001. The reversal of 7960680000 is 860697.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is not an unprimeable number, because it can be changed into a prime (7960680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 612359994 + ... + 612360006.

It is an arithmetic number, because the mean of its divisors is an integer number (32533336).

Almost surely, 2^7960680000 is an apocalyptic number.

7960680000 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 7960680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18218668160).

7960680000 is an abundant number, since it is smaller than the sum of its proper divisors (28476656320).

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

7960680000 is an frugal number, since it uses more digits than its factorization.

7960680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7960680000 is about 89222.6428660349. The cubic root of 7960680000 is about 1996.7179503545.

The spelling of 7960680000 in words is "seven billion, nine hundred sixty million, six hundred eighty thousand".