5120800 has 72 divisors (see below), whose sum is σ = 12913236. Its totient is φ = 1981440.

The previous prime is 5120737. The next prime is 5120809. The reversal of 5120800 is 80215.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4112784 + 1008016 = 2028^2 + 1004^2 .

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 (5120809) 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, 29514 + ... + 29686.

Almost surely, 2^5120800 is an apocalyptic number.

5120800 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 5120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456618).

5120800 is an abundant number, since it is smaller than the sum of its proper divisors (7792436).

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

5120800 is a wasteful number, since it uses less digits than its factorization.

5120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

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

The square root of 5120800 is about 2262.9184695874. The cubic root of 5120800 is about 172.3637515463.

It can be divided in two parts, 5120 and 800, that multiplied together give a cube (4096000 = 160³).

The spelling of 5120800 in words is "five million, one hundred twenty thousand, eight hundred".