8045328720 has 480 divisors, whose sum is σ = 29956332672. Its totient is φ = 1774080000.

The previous prime is 8045328691. The next prime is 8045328737. The reversal of 8045328720 is 278235408.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 38129415 + ... + 38129625.

Almost surely, 2^8045328720 is an apocalyptic number.

8045328720 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 8045328720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14978166336).

8045328720 is an abundant number, since it is smaller than the sum of its proper divisors (21911003952).

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

8045328720 is a wasteful number, since it uses less digits than its factorization.

8045328720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 8045328720 is about 89695.7564213603. The cubic root of 8045328720 is about 2003.7702813564.

The spelling of 8045328720 in words is "eight billion, forty-five million, three hundred twenty-eight thousand, seven hundred twenty".