840340800 has 378 divisors, whose sum is σ = 3265245438. Its totient is φ = 203765760.

The previous prime is 840340799. The next prime is 840340843. The reversal of 840340800 is 8043048.

It can be written as a sum of positive squares in 3 ways, for example, as 2585664 + 837755136 = 1608^2 + 28944^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 12542367 + ... + 12542433.

Almost surely, 2^840340800 is an apocalyptic number.

840340800 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 840340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632622719).

840340800 is an abundant number, since it is smaller than the sum of its proper divisors (2424904638).

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

840340800 is a wasteful number, since it uses less digits than its factorization.

840340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 840340800 is about 28988.6322547305. The cubic root of 840340800 is about 943.6663812001. Note that the first 3 decimals are identical.

Adding to 840340800 its reverse (8043048), we get a palindrome (848383848).

The spelling of 840340800 in words is "eight hundred forty million, three hundred forty thousand, eight hundred".