842919840 has 288 divisors, whose sum is σ = 3481470720. Its totient is φ = 181297152.

The previous prime is 842919827. The next prime is 842919851. The reversal of 842919840 is 48919248.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168901 + ... + 173819.

It is an arithmetic number, because the mean of its divisors is an integer number (12088440).

Almost surely, 2^842919840 is an apocalyptic number.

842919840 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 842919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740735360).

842919840 is an abundant number, since it is smaller than the sum of its proper divisors (2638550880).

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

842919840 is a wasteful number, since it uses less digits than its factorization.

842919840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 842919840 is about 29033.0818205715. The cubic root of 842919840 is about 944.6307787467.

The spelling of 842919840 in words is "eight hundred forty-two million, nine hundred nineteen thousand, eight hundred forty".