800400700 has 72 divisors (see below), whose sum is σ = 1930657680. Its totient is φ = 285542400.

The previous prime is 800400691. The next prime is 800400709. The reversal of 800400700 is 7004008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (800400691) and next prime (800400709).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800400709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51436 + ... + 65164.

It is an arithmetic number, because the mean of its divisors is an integer number (26814690).

Almost surely, 2^800400700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800400700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965328840).

800400700 is an abundant number, since it is smaller than the sum of its proper divisors (1130256980).

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

800400700 is a wasteful number, since it uses less digits than its factorization.

800400700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13807 (or 13800 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 800400700 is about 28291.3538028847. The cubic root of 800400700 is about 928.4727312400.

Adding to 800400700 its reverse (7004008), we get a palindrome (807404708).

The spelling of 800400700 in words is "eight hundred million, four hundred thousand, seven hundred".