842880 has 64 divisors (see below), whose sum is σ = 2692800. Its totient is φ = 224256.

The previous prime is 842879. The next prime is 842887. The reversal of 842880 is 88248.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842880.

It is not an unprimeable number, because it can be changed into a prime (842887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1701 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (42075).

2⁸⁴²⁸⁸⁰ is an apocalyptic number.

842880 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 842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346400).

842880 is an abundant number, since it is smaller than the sum of its proper divisors (1849920).

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

842880 is a wasteful number, since it uses less digits than its factorization.

842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 842880 is about 918.0849633885. The cubic root of 842880 is about 94.4615896081.

The spelling of 842880 in words is "eight hundred forty-two thousand, eight hundred eighty".