7080588480 has 448 divisors, whose sum is σ = 27200839680. Its totient is φ = 1526169600.

The previous prime is 7080588457. The next prime is 7080588517. The reversal of 7080588480 is 848850807.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8540706 + ... + 8541534.

It is an arithmetic number, because the mean of its divisors is an integer number (60716160).

Almost surely, 2^7080588480 is an apocalyptic number.

7080588480 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 7080588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13600419840).

7080588480 is an abundant number, since it is smaller than the sum of its proper divisors (20120251200).

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

7080588480 is a wasteful number, since it uses less digits than its factorization.

7080588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 7080588480 is about 84146.2327142457. The cubic root of 7080588480 is about 1920.2441529792.

The spelling of 7080588480 in words is "seven billion, eighty million, five hundred eighty-eight thousand, four hundred eighty".