5209776 has 180 divisors, whose sum is σ = 18009264. Its totient is φ = 1393920.

The previous prime is 5209727. The next prime is 5209777. The reversal of 5209776 is 6779025.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5209776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5209777) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226501 + ... + 226523.

Almost surely, 2^5209776 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 5209776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004632).

5209776 is an abundant number, since it is smaller than the sum of its proper divisors (12799488).

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

5209776 is a wasteful number, since it uses less digits than its factorization.

5209776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5209776 is about 2282.4933734844. The cubic root of 5209776 is about 173.3563217373.

It can be divided in two parts, 520 and 9776, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 5209776 in words is "five million, two hundred nine thousand, seven hundred seventy-six".