51765800 has 48 divisors (see below), whose sum is σ = 122938560. Its totient is φ = 20262080.

The previous prime is 51765797. The next prime is 51765803. The reversal of 51765800 is 856715.

It is an interprime number because it is at equal distance from previous prime (51765797) and next prime (51765803).

It is not an unprimeable number, because it can be changed into a prime (51765803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6647 + ... + 12153.

It is an arithmetic number, because the mean of its divisors is an integer number (2561220).

Almost surely, 2^51765800 is an apocalyptic number.

51765800 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 51765800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61469280).

51765800 is an abundant number, since it is smaller than the sum of its proper divisors (71172760).

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

51765800 is a wasteful number, since it uses less digits than its factorization.

51765800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 51765800 is about 7194.8453770738. The cubic root of 51765800 is about 372.6899171187.

The spelling of 51765800 in words is "fifty-one million, seven hundred sixty-five thousand, eight hundred".