842772 has 48 divisors (see below), whose sum is σ = 2293760. Its totient is φ = 235872.

The previous prime is 842771. The next prime is 842791. The reversal of 842772 is 277248.

842772 is a modest number, since divided by 2772 gives 84 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6573 + ... + 6699.

2⁸⁴²⁷⁷² 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 842772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146880).

842772 is an abundant number, since it is smaller than the sum of its proper divisors (1450988).

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

842772 is a wasteful number, since it uses less digits than its factorization.

842772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 842772 is about 918.0261434186. The cubic root of 842772 is about 94.4575549146.

The spelling of 842772 in words is "eight hundred forty-two thousand, seven hundred seventy-two".