51740800 has 192 divisors, whose sum is σ = 144187200. Its totient is φ = 18247680.

The previous prime is 51740797. The next prime is 51740803. The reversal of 51740800 is 804715.

It is an interprime number because it is at equal distance from previous prime (51740797) and next prime (51740803).

It is a super-2 number, since 2×51740800² = 5354220769280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (51740803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1398382 + ... + 1398418.

It is an arithmetic number, because the mean of its divisors is an integer number (750975).

Almost surely, 2^51740800 is an apocalyptic number.

51740800 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 51740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72093600).

51740800 is an abundant number, since it is smaller than the sum of its proper divisors (92446400).

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

51740800 is a wasteful number, since it uses less digits than its factorization.

51740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 51740800 is about 7193.1078123437. The cubic root of 51740800 is about 372.6299112961.

The spelling of 51740800 in words is "fifty-one million, seven hundred forty thousand, eight hundred".