875565600 has 576 divisors, whose sum is σ = 3709762560. Its totient is φ = 174182400.

The previous prime is 875565557. The next prime is 875565601. The reversal of 875565600 is 6565578.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875565601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4149495 + ... + 4149705.

It is an arithmetic number, because the mean of its divisors is an integer number (6440560).

Almost surely, 2^875565600 is an apocalyptic number.

875565600 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 875565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854881280).

875565600 is an abundant number, since it is smaller than the sum of its proper divisors (2834196960).

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

875565600 is a wasteful number, since it uses less digits than its factorization.

875565600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 875565600 is about 29589.9577559685. The cubic root of 875565600 is about 956.6716334501.

The spelling of 875565600 in words is "eight hundred seventy-five million, five hundred sixty-five thousand, six hundred".