8220400 has 30 divisors (see below), whose sum is σ = 19750472. Its totient is φ = 3288000.

The previous prime is 8220397. The next prime is 8220409. The reversal of 8220400 is 40228.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9876 + ... + 10675.

Almost surely, 2^8220400 is an apocalyptic number.

8220400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8220400 is an abundant number, since it is smaller than the sum of its proper divisors (11530072).

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

8220400 is a wasteful number, since it uses less digits than its factorization.

8220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20569 (or 20558 counting only the distinct ones).

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

The square root of 8220400 is about 2867.1239945283. The cubic root of 8220400 is about 201.8200534513.

Adding to 8220400 its reverse (40228), we get a palindrome (8260628).

The spelling of 8220400 in words is "eight million, two hundred twenty thousand, four hundred".