51768756 has 108 divisors (see below), whose sum is σ = 144947712. Its totient is φ = 15567552.

The previous prime is 51768751. The next prime is 51768767. The reversal of 51768756 is 65786715.

51768756 is a `hidden beast` number, since 517 + 6 + 87 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51768751) 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, 407565 + ... + 407691.

Almost surely, 2^51768756 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 51768756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72473856).

51768756 is an abundant number, since it is smaller than the sum of its proper divisors (93178956).

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

51768756 is a wasteful number, since it uses less digits than its factorization.

51768756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 51768756 is about 7195.0507989868. The cubic root of 51768756 is about 372.6970109298.

The spelling of 51768756 in words is "fifty-one million, seven hundred sixty-eight thousand, seven hundred fifty-six".