842098880 has 224 divisors, whose sum is σ = 2414211072. Its totient is φ = 273715200.

The previous prime is 842098861. The next prime is 842098921. The reversal of 842098880 is 88890248.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4652390 + ... + 4652570.

It is an arithmetic number, because the mean of its divisors is an integer number (10777728).

Almost surely, 2^842098880 is an apocalyptic number.

842098880 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 842098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207105536).

842098880 is an abundant number, since it is smaller than the sum of its proper divisors (1572112192).

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

842098880 is a wasteful number, since it uses less digits than its factorization.

842098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 47.

The square root of 842098880 is about 29018.9400219925. The cubic root of 842098880 is about 944.3240054133.

The spelling of 842098880 in words is "eight hundred forty-two million, ninety-eight thousand, eight hundred eighty".