842428080 has 320 divisors, whose sum is σ = 3291456000. Its totient is φ = 196328448.

The previous prime is 842428063. The next prime is 842428091. The reversal of 842428080 is 80824248.

842428080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532731 + ... + 534309.

It is an arithmetic number, because the mean of its divisors is an integer number (10285800).

Almost surely, 2^842428080 is an apocalyptic number.

842428080 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 842428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645728000).

842428080 is an abundant number, since it is smaller than the sum of its proper divisors (2449027920).

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

842428080 is a wasteful number, since it uses less digits than its factorization.

842428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 842428080 is about 29024.6116253086. The cubic root of 842428080 is about 944.4470436017.

The spelling of 842428080 in words is "eight hundred forty-two million, four hundred twenty-eight thousand, eighty".