875508480 has 864 divisors, whose sum is σ = 4026516480. Its totient is φ = 178053120.

The previous prime is 875508457. The next prime is 875508499. The reversal of 875508480 is 84805578.

It is a tau number, because it is divible by the number of its divisors (864).

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, 18627817 + ... + 18627863.

It is an arithmetic number, because the mean of its divisors is an integer number (4660320).

Almost surely, 2^875508480 is an apocalyptic number.

875508480 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 875508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013258240).

875508480 is an abundant number, since it is smaller than the sum of its proper divisors (3151008000).

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

875508480 is a wasteful number, since it uses less digits than its factorization.

875508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 875508480 is about 29588.9925479054. The cubic root of 875508480 is about 956.6508292705.

The spelling of 875508480 in words is "eight hundred seventy-five million, five hundred eight thousand, four hundred eighty".