5005780 has 36 divisors (see below), whose sum is σ = 11390652. Its totient is φ = 1847040.

The previous prime is 5005757. The next prime is 5005783. The reversal of 5005780 is 875005.

It can be written as a sum of positive squares in 6 ways, for example, as 1140624 + 3865156 = 1068^2 + 1966^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005783) 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, 2640 + ... + 4120.

It is an arithmetic number, because the mean of its divisors is an integer number (316407).

Almost surely, 2^5005780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695326).

5005780 is an abundant number, since it is smaller than the sum of its proper divisors (6384872).

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

5005780 is a wasteful number, since it uses less digits than its factorization.

5005780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 5005780 is about 2237.3600514893. The cubic root of 5005780 is about 171.0634603671.

It can be divided in two parts, 500 and 5780, that multiplied together give a square (2890000 = 1700²).

The spelling of 5005780 in words is "five million, five thousand, seven hundred eighty".