840134400 has 648 divisors, whose sum is σ = 3467278080. Its totient is φ = 178053120.

The previous prime is 840134389. The next prime is 840134411. The reversal of 840134400 is 4431048.

It is an interprime number because it is at equal distance from previous prime (840134389) and next prime (840134411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17875177 + ... + 17875223.

Almost surely, 2^840134400 is an apocalyptic number.

840134400 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 840134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733639040).

840134400 is an abundant number, since it is smaller than the sum of its proper divisors (2627143680).

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

840134400 is a wasteful number, since it uses less digits than its factorization.

840134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 840134400 is about 28985.0720199209. The cubic root of 840134400 is about 943.5891154488.

Adding to 840134400 its reverse (4431048), we get a palindrome (844565448).

The spelling of 840134400 in words is "eight hundred forty million, one hundred thirty-four thousand, four hundred".