842071776 has 192 divisors, whose sum is σ = 2788079616. Its totient is φ = 216576000.

The previous prime is 842071771. The next prime is 842071831. The reversal of 842071776 is 677170248.

842071776 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842071771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357001 + ... + 359351.

It is an arithmetic number, because the mean of its divisors is an integer number (14521248).

Almost surely, 2^842071776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842071776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394039808).

842071776 is an abundant number, since it is smaller than the sum of its proper divisors (1946007840).

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

842071776 is a wasteful number, since it uses less digits than its factorization.

842071776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 842071776 is about 29018.4730128930. The cubic root of 842071776 is about 944.3138738903.

The spelling of 842071776 in words is "eight hundred forty-two million, seventy-one thousand, seven hundred seventy-six".