5022800 has 60 divisors (see below), whose sum is σ = 12512220. Its totient is φ = 1935360.

The previous prime is 5022791. The next prime is 5022811. The reversal of 5022800 is 82205.

5022800 = T₄₂₃ + T₄₂₄ + ... + T₄₇₂.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 595984 + 4426816 = 772^2 + 2104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11384 + ... + 11816.

It is an arithmetic number, because the mean of its divisors is an integer number (208537).

Almost surely, 2^5022800 is an apocalyptic number.

5022800 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 5022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256110).

5022800 is an abundant number, since it is smaller than the sum of its proper divisors (7489420).

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

5022800 is a wasteful number, since it uses less digits than its factorization.

5022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5022800 is about 2241.1604137143. The cubic root of 5022800 is about 171.2571169365.

The spelling of 5022800 in words is "five million, twenty-two thousand, eight hundred".