875140800 has 168 divisors, whose sum is σ = 2996403456. Its totient is φ = 223196160.

The previous prime is 875140771. The next prime is 875140811. The reversal of 875140800 is 8041578.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106437 + ... + 114363.

Almost surely, 2^875140800 is an apocalyptic number.

875140800 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 875140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498201728).

875140800 is an abundant number, since it is smaller than the sum of its proper divisors (2121262656).

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

875140800 is a wasteful number, since it uses less digits than its factorization.

875140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 875140800 is about 29582.7787741449. The cubic root of 875140800 is about 956.5168916271.

The spelling of 875140800 in words is "eight hundred seventy-five million, one hundred forty thousand, eight hundred".