873875200 has 108 divisors (see below), whose sum is σ = 2359802088. Its totient is φ = 317747200.

The previous prime is 873875159. The next prime is 873875201. The reversal of 873875200 is 2578378.

It is a super-3 number, since 3×873875200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873875201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64194 + ... + 76606.

Almost surely, 2^873875200 is an apocalyptic number.

873875200 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 873875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179901044).

873875200 is an abundant number, since it is smaller than the sum of its proper divisors (1485926888).

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

873875200 is a wasteful number, since it uses less digits than its factorization.

873875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12450 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 873875200 is about 29561.3802113501. The cubic root of 873875200 is about 956.0555746945.

It can be divided in two parts, 8738 and 75200, that added together give a palindrome (83938).

The spelling of 873875200 in words is "eight hundred seventy-three million, eight hundred seventy-five thousand, two hundred".