875733768 has 160 divisors (see below), whose sum is σ = 3019114560. Its totient is φ = 230947200.

The previous prime is 875733757. The next prime is 875733773. The reversal of 875733768 is 867337578.

875733768 is a `hidden beast` number, since 8 + 7 + 573 + 3 + 7 + 68 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 51543 + ... + 66393.

It is an arithmetic number, because the mean of its divisors is an integer number (18869466).

Almost surely, 2^875733768 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 875733768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509557280).

875733768 is an abundant number, since it is smaller than the sum of its proper divisors (2143380792).

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

875733768 is a wasteful number, since it uses less digits than its factorization.

875733768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14889 (or 14876 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 875733768 is about 29592.7992592793. The cubic root of 875733768 is about 956.7328781497.

The spelling of 875733768 in words is "eight hundred seventy-five million, seven hundred thirty-three thousand, seven hundred sixty-eight".