873542880 has 240 divisors, whose sum is σ = 3523655520. Its totient is φ = 199646208.

The previous prime is 873542869. The next prime is 873542881. The reversal of 873542880 is 88245378.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873542881) 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 39 ways as a sum of consecutive naturals, for example, 85906 + ... + 95534.

It is an arithmetic number, because the mean of its divisors is an integer number (14681898).

Almost surely, 2^873542880 is an apocalyptic number.

873542880 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 873542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761827760).

873542880 is an abundant number, since it is smaller than the sum of its proper divisors (2650112640).

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

873542880 is a wasteful number, since it uses less digits than its factorization.

873542880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 873542880 is about 29555.7588297103. The cubic root of 873542880 is about 955.9343687255.

It can be divided in two parts, 8735 and 42880, that added together give a palindrome (51615).

The spelling of 873542880 in words is "eight hundred seventy-three million, five hundred forty-two thousand, eight hundred eighty".