51765760 has 80 divisors (see below), whose sum is σ = 126270936. Its totient is φ = 20348928.

The previous prime is 51765757. The next prime is 51765767. The reversal of 51765760 is 6756715.

It can be written as a sum of positive squares in 4 ways, for example, as 34857216 + 16908544 = 5904^2 + 4112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (51765767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186742 + ... + 187018.

Almost surely, 2^51765760 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 51765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63135468).

51765760 is an abundant number, since it is smaller than the sum of its proper divisors (74505176).

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

51765760 is an equidigital number, since it uses as much as digits as its factorization.

51765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 51765760 is about 7194.8425973054. The cubic root of 51765760 is about 372.6898211248.

It can be divided in two parts, 51765 and 760, that added together give a palindrome (52525).

The spelling of 51765760 in words is "fifty-one million, seven hundred sixty-five thousand, seven hundred sixty".