842791680 has 216 divisors, whose sum is σ = 2941520400. Its totient is φ = 222781440.

The previous prime is 842791679. The next prime is 842791681. The reversal of 842791680 is 86197248.

842791680 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (842791679) and next prime (842791681).

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

It is not an unprimeable number, because it can be changed into a prime (842791681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1716235 + ... + 1716725.

It is an arithmetic number, because the mean of its divisors is an integer number (13618150).

Almost surely, 2^842791680 is an apocalyptic number.

842791680 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 842791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470760200).

842791680 is an abundant number, since it is smaller than the sum of its proper divisors (2098728720).

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

842791680 is a wasteful number, since it uses less digits than its factorization.

842791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 842791680 is about 29030.8745992951. The cubic root of 842791680 is about 944.5829015105.

The spelling of 842791680 in words is "eight hundred forty-two million, seven hundred ninety-one thousand, six hundred eighty".