873495840 has 384 divisors, whose sum is σ = 3344302080. Its totient is φ = 187342848.

The previous prime is 873495827. The next prime is 873495841. The reversal of 873495840 is 48594378.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 873495840.

It is not an unprimeable number, because it can be changed into a prime (873495841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6877857 + ... + 6877983.

It is an arithmetic number, because the mean of its divisors is an integer number (8709120).

Almost surely, 2^873495840 is an apocalyptic number.

873495840 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 873495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672151040).

873495840 is an abundant number, since it is smaller than the sum of its proper divisors (2470806240).

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

873495840 is a wasteful number, since it uses less digits than its factorization.

873495840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 873495840 is about 29554.9630349963. The cubic root of 873495840 is about 955.9172094992.

The spelling of 873495840 in words is "eight hundred seventy-three million, four hundred ninety-five thousand, eight hundred forty".