8240927760 has 480 divisors, whose sum is σ = 31685472000. Its totient is φ = 1902735360.

The previous prime is 8240927743. The next prime is 8240927771. The reversal of 8240927760 is 677290428.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26498005 + ... + 26498315.

It is an arithmetic number, because the mean of its divisors is an integer number (66011400).

Almost surely, 2^8240927760 is an apocalyptic number.

8240927760 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 8240927760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842736000).

8240927760 is an abundant number, since it is smaller than the sum of its proper divisors (23444544240).

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

8240927760 is a wasteful number, since it uses less digits than its factorization.

8240927760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8240927760 is about 90779.5558482195. Note that the first 3 decimals coincide. The cubic root of 8240927760 is about 2019.8790699752.

The spelling of 8240927760 in words is "eight billion, two hundred forty million, nine hundred twenty-seven thousand, seven hundred sixty".