800840400 has 60 divisors (see below), whose sum is σ = 2565362592. Its totient is φ = 213557120.

The previous prime is 800840393. The next prime is 800840419. The reversal of 800840400 is 4048008.

It is a tau number, because it is divible by the number of its divisors (60).

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332484 + ... + 334883.

Almost surely, 2^800840400 is an apocalyptic number.

800840400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800840400 is an abundant number, since it is smaller than the sum of its proper divisors (1764522192).

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

800840400 is a wasteful number, since it uses less digits than its factorization.

800840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667388 (or 667377 counting only the distinct ones).

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

The square root of 800840400 is about 28299.1236613433. The cubic root of 800840400 is about 928.6427188997.

Adding to 800840400 its reverse (4048008), we get a palindrome (804888408).

The spelling of 800840400 in words is "eight hundred million, eight hundred forty thousand, four hundred".