840540768 has 48 divisors (see below), whose sum is σ = 2215273536. Its totient is φ = 279056000.

The previous prime is 840540739. The next prime is 840540769. The reversal of 840540768 is 867045048.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840540769) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6655 + ... + 41537.

It is an arithmetic number, because the mean of its divisors is an integer number (46151532).

Almost surely, 2^840540768 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 840540768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107636768).

840540768 is an abundant number, since it is smaller than the sum of its proper divisors (1374732768).

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

840540768 is a wasteful number, since it uses less digits than its factorization.

840540768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35147 (or 35139 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 840540768 is about 28992.0811257143. The cubic root of 840540768 is about 943.7412270693.

The spelling of 840540768 in words is "eight hundred forty million, five hundred forty thousand, seven hundred sixty-eight".