8280518400 has 648 divisors, whose sum is σ = 36929553024. Its totient is φ = 1719705600.

The previous prime is 8280518359. The next prime is 8280518429. The reversal of 8280518400 is 48150828.

It is a super-4 number, since 4×8280518400⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4434267 + ... + 4436133.

Almost surely, 2^8280518400 is an apocalyptic number.

8280518400 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 8280518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18464776512).

8280518400 is an abundant number, since it is smaller than the sum of its proper divisors (28649034624).

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

8280518400 is a wasteful number, since it uses less digits than its factorization.

8280518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 8280518400 is about 90997.3538076795. The cubic root of 8280518400 is about 2023.1085035315.

The spelling of 8280518400 in words is "eight billion, two hundred eighty million, five hundred eighteen thousand, four hundred".