842017680 has 400 divisors, whose sum is σ = 3521738880. Its totient is φ = 182145024.

The previous prime is 842017669. The next prime is 842017681. The reversal of 842017680 is 86710248.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (842017681) 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 79 ways as a sum of consecutive naturals, for example, 861352 + ... + 862328.

Almost surely, 2^842017680 is an apocalyptic number.

842017680 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 842017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760869440).

842017680 is an abundant number, since it is smaller than the sum of its proper divisors (2679721200).

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

842017680 is a wasteful number, since it uses less digits than its factorization.

842017680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 842017680 is about 29017.5409020130. The cubic root of 842017680 is about 944.2936520602.

842017680 divided by its sum of digits (36) gives a triangular number (23389380 = T₆₈₃₉).

The spelling of 842017680 in words is "eight hundred forty-two million, seventeen thousand, six hundred eighty".