51800760 has 192 divisors, whose sum is σ = 186900480. Its totient is φ = 12337920.

The previous prime is 51800731. The next prime is 51800789. The reversal of 51800760 is 6700815.

51800760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51800731) and next prime (51800789).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407817 + ... + 407943.

It is an arithmetic number, because the mean of its divisors is an integer number (973440).

Almost surely, 2^51800760 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 51800760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93450240).

51800760 is an abundant number, since it is smaller than the sum of its proper divisors (135099720).

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

51800760 is a wasteful number, since it uses less digits than its factorization.

51800760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51800760 is about 7197.2744841363. The cubic root of 51800760 is about 372.7737968714.

The spelling of 51800760 in words is "fifty-one million, eight hundred thousand, seven hundred sixty".