5012800 has 84 divisors (see below), whose sum is σ = 13338556. Its totient is φ = 1843200.

The previous prime is 5012767. The next prime is 5012803. The reversal of 5012800 is 82105.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 207936 + 4804864 = 456^2 + 2192^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5012803) 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, 20680 + ... + 20920.

Almost surely, 2^5012800 is an apocalyptic number.

5012800 is a gapful number since it is divisible by the number (50) 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 5012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6669278).

5012800 is an abundant number, since it is smaller than the sum of its proper divisors (8325756).

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

5012800 is a wasteful number, since it uses less digits than its factorization.

5012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

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

The square root of 5012800 is about 2238.9283150650. The cubic root of 5012800 is about 171.1433882753.

Adding to 5012800 its reverse (82105), we get a palindrome (5094905).

It can be divided in two parts, 50 and 12800, that multiplied together give a square (640000 = 800²).

The spelling of 5012800 in words is "five million, twelve thousand, eight hundred".