7813320480 has 384 divisors, whose sum is σ = 31897152000. Its totient is φ = 1785563136.

The previous prime is 7813320443. The next prime is 7813320533. The reversal of 7813320480 is 840233187.

It is a super-2 number, since 2×7813320480² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479124 + ... + 1484396.

It is an arithmetic number, because the mean of its divisors is an integer number (83065500).

Almost surely, 2^7813320480 is an apocalyptic number.

7813320480 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 7813320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15948576000).

7813320480 is an abundant number, since it is smaller than the sum of its proper divisors (24083831520).

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

7813320480 is a wasteful number, since it uses less digits than its factorization.

7813320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7813320480 is about 88392.9888622395. The cubic root of 7813320480 is about 1984.3207755055.

The spelling of 7813320480 in words is "seven billion, eight hundred thirteen million, three hundred twenty thousand, four hundred eighty".