842125680 has 480 divisors, whose sum is σ = 3357285120. Its totient is φ = 192360960.

The previous prime is 842125663. The next prime is 842125681. The reversal of 842125680 is 86521248.

842125680 is a `hidden beast` number, since 84 + 2 + 12 + 568 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842125681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12569007 + ... + 12569073.

It is an arithmetic number, because the mean of its divisors is an integer number (6994344).

Almost surely, 2^842125680 is an apocalyptic number.

842125680 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 842125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678642560).

842125680 is an abundant number, since it is smaller than the sum of its proper divisors (2515159440).

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

842125680 is a wasteful number, since it uses less digits than its factorization.

842125680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 842125680 is about 29019.4017857019. The cubic root of 842125680 is about 944.3340230868.

It can be divided in two parts, 84 and 2125680, that added together give a square (2125764 = 1458²).

The spelling of 842125680 in words is "eight hundred forty-two million, one hundred twenty-five thousand, six hundred eighty".