7160762880 has 320 divisors, whose sum is σ = 25769779200. Its totient is φ = 1908043776.

The previous prime is 7160762863. The next prime is 7160762887. The reversal of 7160762880 is 882670617.

7160762880 is a `hidden beast` number, since 7 + 16 + 0 + 7 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×7160762880³ (a number of 31 digits) contains 333 as substring.

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 (7160762887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598081 + ... + 5599359.

It is an arithmetic number, because the mean of its divisors is an integer number (80530560).

Almost surely, 2^7160762880 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 7160762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884889600).

7160762880 is an abundant number, since it is smaller than the sum of its proper divisors (18609016320).

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

7160762880 is an frugal number, since it uses more digits than its factorization.

7160762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7160762880 is about 84621.2909379194. The cubic root of 7160762880 is about 1927.4646907187.

The spelling of 7160762880 in words is "seven billion, one hundred sixty million, seven hundred sixty-two thousand, eight hundred eighty".