842776704 has 256 divisors, whose sum is σ = 3102105600. Its totient is φ = 218833920.

The previous prime is 842776681. The next prime is 842776721. The reversal of 842776704 is 407677248.

It is a self number, because there is not a number n which added to its sum of digits gives 842776704.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 264529 + ... + 267695.

It is an arithmetic number, because the mean of its divisors is an integer number (12117600).

Almost surely, 2^842776704 is an apocalyptic number.

842776704 is a gapful number since it is divisible by the number (84) 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 842776704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551052800).

842776704 is an abundant number, since it is smaller than the sum of its proper divisors (2259328896).

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

842776704 is a wasteful number, since it uses less digits than its factorization.

842776704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 842776704 is about 29030.6166658581. The cubic root of 842776704 is about 944.5773065505.

The spelling of 842776704 in words is "eight hundred forty-two million, seven hundred seventy-six thousand, seven hundred four".