875008236960 has 768 divisors, whose sum is σ = 3714079703040. Its totient is φ = 189485568000.

The previous prime is 875008236917. The next prime is 875008236961. The reversal of 875008236960 is 69632800578.

It is a happy number.

875008236960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×875008236960³ (a number of 37 digits) contains 333 as substring.

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 = 875008236897 and 875008236906.

It is not an unprimeable number, because it can be changed into a prime (875008236961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19127715 + ... + 19173405.

It is an arithmetic number, because the mean of its divisors is an integer number (4836041280).

Almost surely, 2^875008236960 is an apocalyptic number.

875008236960 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 875008236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857039851520).

875008236960 is an abundant number, since it is smaller than the sum of its proper divisors (2839071466080).

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

875008236960 is a wasteful number, since it uses less digits than its factorization.

875008236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45770 (or 45756 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 875008236960 in words is "eight hundred seventy-five billion, eight million, two hundred thirty-six thousand, nine hundred sixty".