8037725280 has 384 divisors, whose sum is σ = 28325324160. Its totient is φ = 1903165440.

The previous prime is 8037725233. The next prime is 8037725309. The reversal of 8037725280 is 825277308.

It is a super-3 number, since 3×8037725280³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22769584 + ... + 22769936.

It is an arithmetic number, because the mean of its divisors is an integer number (73763865).

Almost surely, 2^8037725280 is an apocalyptic number.

8037725280 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 8037725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14162662080).

8037725280 is an abundant number, since it is smaller than the sum of its proper divisors (20287598880).

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

8037725280 is a wasteful number, since it uses less digits than its factorization.

8037725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 8037725280 is about 89653.3617886134. The cubic root of 8037725280 is about 2003.1388445836.

The spelling of 8037725280 in words is "eight billion, thirty-seven million, seven hundred twenty-five thousand, two hundred eighty".