842790752 has 48 divisors (see below), whose sum is σ = 1789225200. Its totient is φ = 389468160.

The previous prime is 842790731. The next prime is 842790787. The reversal of 842790752 is 257097248.

It is a super-3 number, since 3×842790752³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8024 + ... + 41832.

It is an arithmetic number, because the mean of its divisors is an integer number (37275525).

Almost surely, 2^842790752 is an apocalyptic number.

842790752 is a gapful number since it is divisible by the number (82) 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 842790752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894612600).

842790752 is an abundant number, since it is smaller than the sum of its proper divisors (946434448).

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

842790752 is a wasteful number, since it uses less digits than its factorization.

842790752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33879 (or 33871 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 842790752 is about 29030.8586163069. The cubic root of 842790752 is about 944.5825548162.

The spelling of 842790752 in words is "eight hundred forty-two million, seven hundred ninety thousand, seven hundred fifty-two".