8051200 has 120 divisors (see below), whose sum is σ = 21691692. Its totient is φ = 2949120.

The previous prime is 8051171. The next prime is 8051203. The reversal of 8051200 is 21508.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5837056 + 2214144 = 2416^2 + 1488^2 .

It is a super-3 number, since 3×8051200³ (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8051203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217582 + ... + 217618.

Almost surely, 2^8051200 is an apocalyptic number.

8051200 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 8051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10845846).

8051200 is an abundant number, since it is smaller than the sum of its proper divisors (13640492).

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

8051200 is a wasteful number, since it uses less digits than its factorization.

8051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 8051200 is about 2837.4636561549. The cubic root of 8051200 is about 200.4257596670.

Adding to 8051200 its reverse (21508), we get a palindrome (8072708).

It can be divided in two parts, 80 and 51200, that multiplied together give a cube (4096000 = 160³).

The spelling of 8051200 in words is "eight million, fifty-one thousand, two hundred".