875784960 has 180 divisors, whose sum is σ = 3134089728. Its totient is φ = 233515008.

The previous prime is 875784947. The next prime is 875784979. The reversal of 875784960 is 69487578.

875784960 is a `hidden beast` number, since 8 + 7 + 578 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 875784897 and 875784906.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99457 + ... + 107903.

Almost surely, 2^875784960 is an apocalyptic number.

875784960 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 875784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567044864).

875784960 is an abundant number, since it is smaller than the sum of its proper divisors (2258304768).

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

875784960 is an equidigital number, since it uses as much as digits as its factorization.

875784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8480 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 875784960 is about 29593.6641867816. The cubic root of 875784960 is about 956.7515200844.

The spelling of 875784960 in words is "eight hundred seventy-five million, seven hundred eighty-four thousand, nine hundred sixty".