873750240 has 384 divisors, whose sum is σ = 3392202240. Its totient is φ = 210885120.

The previous prime is 873750203. The next prime is 873750263. The reversal of 873750240 is 42057378.

873750240 is a `hidden beast` number, since 87 + 37 + 502 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 873750195 and 873750204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3849007 + ... + 3849233.

It is an arithmetic number, because the mean of its divisors is an integer number (8833860).

Almost surely, 2^873750240 is an apocalyptic number.

873750240 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 873750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696101120).

873750240 is an abundant number, since it is smaller than the sum of its proper divisors (2518452000).

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

873750240 is a wasteful number, since it uses less digits than its factorization.

873750240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 873750240 is about 29559.2665673558. The cubic root of 873750240 is about 956.0100020545.

The spelling of 873750240 in words is "eight hundred seventy-three million, seven hundred fifty thousand, two hundred forty".