5157800 has 96 divisors (see below), whose sum is σ = 13358520. Its totient is φ = 1843200.

The previous prime is 5157793. The next prime is 5157821. The reversal of 5157800 is 87515.

5157800 = T₄₂₄ + T₄₂₅ + ... + T₄₇₄.

It can be written as a sum of positive squares in 12 ways, for example, as 586756 + 4571044 = 766^2 + 2138^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5157800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125780 + ... + 125820.

Almost surely, 2^5157800 is an apocalyptic number.

5157800 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 5157800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679260).

5157800 is an abundant number, since it is smaller than the sum of its proper divisors (8200720).

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

5157800 is a wasteful number, since it uses less digits than its factorization.

5157800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 5157800 is about 2271.0790386950. The cubic root of 5157800 is about 172.7778899752. Note that the first 3 decimals are identical.

The spelling of 5157800 in words is "five million, one hundred fifty-seven thousand, eight hundred".