4808782080 has 180 divisors, whose sum is σ = 17207072652. Its totient is φ = 1282314240.

The previous prime is 4808782057. The next prime is 4808782087. The reversal of 4808782080 is 802878084.

4808782080 is a `hidden beast` number, since 480 + 8 + 78 + 20 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2453815296 + 2354966784 = 49536^2 + 48528^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×4808782080³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4808782087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80490 + ... + 126870.

Almost surely, 2^4808782080 is an apocalyptic number.

4808782080 is a gapful number since it is divisible by the number (40) 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 4808782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8603536326).

4808782080 is an abundant number, since it is smaller than the sum of its proper divisors (12398290572).

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

4808782080 is an equidigital number, since it uses as much as digits as its factorization.

4808782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46414 (or 46391 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 4808782080 is about 69345.3825427476. The cubic root of 4808782080 is about 1687.8934667685.

The spelling of 4808782080 in words is "four billion, eight hundred eight million, seven hundred eighty-two thousand, eighty".