840723840 has 256 divisors, whose sum is σ = 3248985600. Its totient is φ = 203765760.

The previous prime is 840723811. The next prime is 840723859. The reversal of 840723840 is 48327048.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 840723795 and 840723804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187869 + ... + 192291.

It is an arithmetic number, because the mean of its divisors is an integer number (12691350).

Almost surely, 2^840723840 is an apocalyptic number.

840723840 is a gapful number since it is divisible by the number (80) 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 840723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624492800).

840723840 is an abundant number, since it is smaller than the sum of its proper divisors (2408261760).

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

840723840 is a wasteful number, since it uses less digits than its factorization.

840723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 840723840 is about 28995.2382297508. The cubic root of 840723840 is about 943.8097385398.

The spelling of 840723840 in words is "eight hundred forty million, seven hundred twenty-three thousand, eight hundred forty".