875354760 has 192 divisors, whose sum is σ = 3293222400. Its totient is φ = 197503488.

The previous prime is 875354759. The next prime is 875354773. The reversal of 875354760 is 67453578.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196882 + ... + 201278.

It is an arithmetic number, because the mean of its divisors is an integer number (17152200).

Almost surely, 2^875354760 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 875354760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646611200).

875354760 is an abundant number, since it is smaller than the sum of its proper divisors (2417867640).

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

875354760 is a wasteful number, since it uses less digits than its factorization.

875354760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 875354760 is about 29586.3948462803. The cubic root of 875354760 is about 956.5948370571.

The spelling of 875354760 in words is "eight hundred seventy-five million, three hundred fifty-four thousand, seven hundred sixty".