8072452080 has 1080 divisors, whose sum is σ = 36368422272. Its totient is φ = 1596672000.

The previous prime is 8072452067. The next prime is 8072452121. The reversal of 8072452080 is 802542708.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 132335250 + ... + 132335310.

Almost surely, 2^8072452080 is an apocalyptic number.

8072452080 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 8072452080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184211136).

8072452080 is an abundant number, since it is smaller than the sum of its proper divisors (28295970192).

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

8072452080 is a wasteful number, since it uses less digits than its factorization.

8072452080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8072452080 is about 89846.8256534420. The cubic root of 8072452080 is about 2006.0195377396.

Adding to 8072452080 its reverse (802542708), we get a palindrome (8874994788).

The spelling of 8072452080 in words is "eight billion, seventy-two million, four hundred fifty-two thousand, eighty".