800220400 has 120 divisors (see below), whose sum is σ = 2208608640. Its totient is φ = 272935680.

The previous prime is 800220371. The next prime is 800220431. The reversal of 800220400 is 4022008.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634971 + ... + 636229.

It is an arithmetic number, because the mean of its divisors is an integer number (18405072).

Almost surely, 2^800220400 is an apocalyptic number.

800220400 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 800220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104304320).

800220400 is an abundant number, since it is smaller than the sum of its proper divisors (1408388240).

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

800220400 is a wasteful number, since it uses less digits than its factorization.

800220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 800220400 is about 28288.1671375153. The cubic root of 800220400 is about 928.4030094098.

Adding to 800220400 its reverse (4022008), we get a palindrome (804242408).

The spelling of 800220400 in words is "eight hundred million, two hundred twenty thousand, four hundred".