8214320800 has 108 divisors (see below), whose sum is σ = 23327315550. Its totient is φ = 2816325120.

The previous prime is 8214320713. The next prime is 8214320833. The reversal of 8214320800 is 80234128.

It can be written as a sum of positive squares in 3 ways, for example, as 6381453456 + 1832867344 = 79884^2 + 42812^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65575 + ... + 143974.

Almost surely, 2^8214320800 is an apocalyptic number.

8214320800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8214320800 is an abundant number, since it is smaller than the sum of its proper divisors (15112994750).

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

8214320800 is a wasteful number, since it uses less digits than its factorization.

8214320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209583 (or 209563 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 8214320800 is about 90632.8902772057. The cubic root of 8214320800 is about 2017.7029078627.

Adding to 8214320800 its reverse (80234128), we get a palindrome (8294554928).

The spelling of 8214320800 in words is "eight billion, two hundred fourteen million, three hundred twenty thousand, eight hundred".