7080312960 has 384 divisors, whose sum is σ = 28630143360. Its totient is φ = 1578516480.

The previous prime is 7080312937. The next prime is 7080312977. The reversal of 7080312960 is 692130807.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7080312960² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1650979 + ... + 1655261.

It is an arithmetic number, because the mean of its divisors is an integer number (74557665).

Almost surely, 2^7080312960 is an apocalyptic number.

7080312960 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 7080312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315071680).

7080312960 is an abundant number, since it is smaller than the sum of its proper divisors (21549830400).

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

7080312960 is a wasteful number, since it uses less digits than its factorization.

7080312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4341 counting only the distinct ones).

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

The square root of 7080312960 is about 84144.5955483773. The cubic root of 7080312960 is about 1920.2192457966.

The spelling of 7080312960 in words is "seven billion, eighty million, three hundred twelve thousand, nine hundred sixty".