8000052480 has 720 divisors, whose sum is σ = 33382804224. Its totient is φ = 1791590400.

The previous prime is 8000052413. The next prime is 8000052481. The reversal of 8000052480 is 842500008.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000052481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52980405 + ... + 52980555.

Almost surely, 2^8000052480 is an apocalyptic number.

8000052480 is a gapful number since it is divisible by the number (80) 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 8000052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16691402112).

8000052480 is an abundant number, since it is smaller than the sum of its proper divisors (25382751744).

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

8000052480 is a wasteful number, since it uses less digits than its factorization.

8000052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8000052480 is about 89443.0124716291. The cubic root of 8000052480 is about 2000.0043733238.

Adding to 8000052480 its reverse (842500008), we get a palindrome (8842552488).

The spelling of 8000052480 in words is "eight billion, fifty-two thousand, four hundred eighty".