2826800760 has 256 divisors, whose sum is σ = 10000972800. Its totient is φ = 625766400.

The previous prime is 2826800747. The next prime is 2826800773. The reversal of 2826800760 is 670086282.

It is an interprime number because it is at equal distance from previous prime (2826800747) and next prime (2826800773).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7266646 + ... + 7267034.

It is an arithmetic number, because the mean of its divisors is an integer number (39066300).

Almost surely, 2^2826800760 is an apocalyptic number.

2826800760 is a gapful number since it is divisible by the number (20) 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 2826800760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000486400).

2826800760 is an abundant number, since it is smaller than the sum of its proper divisors (7174172040).

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

2826800760 is a wasteful number, since it uses less digits than its factorization.

2826800760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2826800760 is about 53167.6664900765. Note that the first 3 decimals coincide. The cubic root of 2826800760 is about 1413.9424496115.

The spelling of 2826800760 in words is "two billion, eight hundred twenty-six million, eight hundred thousand, seven hundred sixty".