8027451720 has 384 divisors, whose sum is σ = 28527033600. Its totient is φ = 1951488000.

The previous prime is 8027451671. The next prime is 8027451739. The reversal of 8027451720 is 271547208.

It is a super-2 number, since 2×8027451720² (a number of 21 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 24251955 + ... + 24252285.

It is an arithmetic number, because the mean of its divisors is an integer number (74289150).

Almost surely, 2^8027451720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8027451720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14263516800).

8027451720 is an abundant number, since it is smaller than the sum of its proper divisors (20499581880).

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

8027451720 is a wasteful number, since it uses less digits than its factorization.

8027451720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 8027451720 is about 89596.0474574632. The cubic root of 8027451720 is about 2002.2850316543.

Adding to 8027451720 its reverse (271547208), we get a palindrome (8298998928).

The spelling of 8027451720 in words is "eight billion, twenty-seven million, four hundred fifty-one thousand, seven hundred twenty".