840400080 has 160 divisors (see below), whose sum is σ = 2896481280. Its totient is φ = 200171520.

The previous prime is 840400079. The next prime is 840400109. The reversal of 840400080 is 80004048.

840400080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 840400080.

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, 92376 + ... + 101064.

It is an arithmetic number, because the mean of its divisors is an integer number (18103008).

Almost surely, 2^840400080 is an apocalyptic number.

840400080 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 840400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448240640).

840400080 is an abundant number, since it is smaller than the sum of its proper divisors (2056081200).

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

840400080 is a wasteful number, since it uses less digits than its factorization.

840400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 840400080 is about 28989.6547064638. The cubic root of 840400080 is about 943.6885703039.

The spelling of 840400080 in words is "eight hundred forty million, four hundred thousand, eighty".