8760460800 has 960 divisors, whose sum is σ = 37507599360. Its totient is φ = 1751777280.

The previous prime is 8760460781. The next prime is 8760460837. The reversal of 8760460800 is 80640678.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80371146 + ... + 80371254.

It is an arithmetic number, because the mean of its divisors is an integer number (39070416).

Almost surely, 2^8760460800 is an apocalyptic number.

8760460800 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 8760460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18753799680).

8760460800 is an abundant number, since it is smaller than the sum of its proper divisors (28747138560).

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

8760460800 is a wasteful number, since it uses less digits than its factorization.

8760460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 8760460800 is about 93597.3332953455. Note that the first 3 decimals coincide. The cubic root of 8760460800 is about 2061.4635027094.

The spelling of 8760460800 in words is "eight billion, seven hundred sixty million, four hundred sixty thousand, eight hundred".