7840788480 has 624 divisors, whose sum is σ = 31893788160. Its totient is φ = 1744699392.

The previous prime is 7840788427. The next prime is 7840788503. The reversal of 7840788480 is 848870487.

It is a happy number.

7840788480 is a `hidden beast` number, since 7 + 84 + 0 + 7 + 88 + 480 = 666.

It is a super-2 number, since 2×7840788480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 76124109 + ... + 76124211.

It is an arithmetic number, because the mean of its divisors is an integer number (51111840).

Almost surely, 2^7840788480 is an apocalyptic number.

7840788480 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 7840788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946894080).

7840788480 is an abundant number, since it is smaller than the sum of its proper divisors (24052999680).

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

7840788480 is a wasteful number, since it uses less digits than its factorization.

7840788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 7840788480 is about 88548.2268597175. The cubic root of 7840788480 is about 1986.6433721475.

The spelling of 7840788480 in words is "seven billion, eight hundred forty million, seven hundred eighty-eight thousand, four hundred eighty".