5200778240 has 264 divisors, whose sum is σ = 14830367616. Its totient is φ = 1714176000.

The previous prime is 5200778237. The next prime is 5200778243. The reversal of 5200778240 is 428770025.

It is an interprime number because it is at equal distance from previous prime (5200778237) and next prime (5200778243).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5200778240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200778243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34442165 + ... + 34442315.

Almost surely, 2^5200778240 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 5200778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415183808).

5200778240 is an abundant number, since it is smaller than the sum of its proper divisors (9629589376).

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

5200778240 is a wasteful number, since it uses less digits than its factorization.

5200778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 5200778240 is about 72116.4214309057. The cubic root of 5200778240 is about 1732.5646348219.

The spelling of 5200778240 in words is "five billion, two hundred million, seven hundred seventy-eight thousand, two hundred forty".