875146752 has 120 divisors (see below), whose sum is σ = 2542236840. Its totient is φ = 289812480.

The previous prime is 875146747. The next prime is 875146777. The reversal of 875146752 is 257641578.

875146752 is a `hidden beast` number, since 87 + 514 + 6 + 7 + 52 = 666.

It is a super-2 number, since 2×875146752² = 1531763675072299008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 875146698 and 875146707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824302 + ... + 825362.

It is an arithmetic number, because the mean of its divisors is an integer number (21185307).

Almost surely, 2^875146752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875146752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271118420).

875146752 is an abundant number, since it is smaller than the sum of its proper divisors (1667090088).

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

875146752 is a wasteful number, since it uses less digits than its factorization.

875146752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1245 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 875146752 is about 29582.8793730428. The cubic root of 875146752 is about 956.5190601070.

The spelling of 875146752 in words is "eight hundred seventy-five million, one hundred forty-six thousand, seven hundred fifty-two".