875115360 has 384 divisors, whose sum is σ = 3587189760. Its totient is φ = 195084288.

The previous prime is 875115349. The next prime is 875115401. The reversal of 875115360 is 63511578.

875115360 is a `hidden beast` number, since 87 + 511 + 5 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299984 + ... + 1300656.

It is an arithmetic number, because the mean of its divisors is an integer number (9341640).

Almost surely, 2^875115360 is an apocalyptic number.

875115360 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 875115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793594880).

875115360 is an abundant number, since it is smaller than the sum of its proper divisors (2712074400).

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

875115360 is a wasteful number, since it uses less digits than its factorization.

875115360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 875115360 is about 29582.3487911288. The cubic root of 875115360 is about 956.5076230136.

The spelling of 875115360 in words is "eight hundred seventy-five million, one hundred fifteen thousand, three hundred sixty".