51340800 has 240 divisors, whose sum is σ = 194844672. Its totient is φ = 11673600.

The previous prime is 51340787. The next prime is 51340801. The reversal of 51340800 is 804315.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51340801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268705 + ... + 268895.

Almost surely, 2^51340800 is an apocalyptic number.

51340800 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 51340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97422336).

51340800 is an abundant number, since it is smaller than the sum of its proper divisors (143503872).

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

51340800 is a wasteful number, since it uses less digits than its factorization.

51340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51340800 is about 7165.2494722794. The cubic root of 51340800 is about 371.6671783281.

The spelling of 51340800 in words is "fifty-one million, three hundred forty thousand, eight hundred".