51180800 has 108 divisors (see below), whose sum is σ = 138386976. Its totient is φ = 18585600.

The previous prime is 51180763. The next prime is 51180809. The reversal of 51180800 is 808115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51180809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70037 + ... + 70763.

Almost surely, 2^51180800 is an apocalyptic number.

51180800 is a gapful number since it is divisible by the number (50) 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 51180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69193488).

51180800 is an abundant number, since it is smaller than the sum of its proper divisors (87206176).

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

51180800 is a wasteful number, since it uses less digits than its factorization.

51180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 51180800 is about 7154.0757614104. The cubic root of 51180800 is about 371.2806849975.

Adding to 51180800 its reverse (808115), we get a palindrome (51988915).

The spelling of 51180800 in words is "fifty-one million, one hundred eighty thousand, eight hundred".