873290240 has 80 divisors (see below), whose sum is σ = 2122986888. Its totient is φ = 344457216.

The previous prime is 873290149. The next prime is 873290263. The reversal of 873290240 is 42092378.

It can be written as a sum of positive squares in 4 ways, for example, as 856381696 + 16908544 = 29264^2 + 4112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 873290240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184544 + ... + 189216.

Almost surely, 2^873290240 is an apocalyptic number.

873290240 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 873290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061493444).

873290240 is an abundant number, since it is smaller than the sum of its proper divisors (1249696648).

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

873290240 is an equidigital number, since it uses as much as digits as its factorization.

873290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 873290240 is about 29551.4845650773. The cubic root of 873290240 is about 955.8422036086.

The spelling of 873290240 in words is "eight hundred seventy-three million, two hundred ninety thousand, two hundred forty".