7819320480 has 96 divisors (see below), whose sum is σ = 24651998784. Its totient is φ = 2083362816.

The previous prime is 7819320469. The next prime is 7819320517. The reversal of 7819320480 is 840239187.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7819320480² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609492 + ... + 622188.

It is an arithmetic number, because the mean of its divisors is an integer number (256791654).

Almost surely, 2^7819320480 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 7819320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12325999392).

7819320480 is an abundant number, since it is smaller than the sum of its proper divisors (16832678304).

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

7819320480 is a wasteful number, since it uses less digits than its factorization.

7819320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13998 (or 13990 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7819320480 is about 88426.9216924348. The cubic root of 7819320480 is about 1984.8285783185.

The spelling of 7819320480 in words is "seven billion, eight hundred nineteen million, three hundred twenty thousand, four hundred eighty".