8230877760 has 448 divisors, whose sum is σ = 31961571840. Its totient is φ = 1751777280.

The previous prime is 8230877717. The next prime is 8230877771. The reversal of 8230877760 is 677780328.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 12451830 + ... + 12452490.

Almost surely, 2^8230877760 is an apocalyptic number.

8230877760 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 8230877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980785920).

8230877760 is an abundant number, since it is smaller than the sum of its proper divisors (23730694080).

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

8230877760 is a wasteful number, since it uses less digits than its factorization.

8230877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 8230877760 is about 90724.1850886521. The cubic root of 8230877760 is about 2019.0576397164.

The spelling of 8230877760 in words is "eight billion, two hundred thirty million, eight hundred seventy-seven thousand, seven hundred sixty".