51382800 has 180 divisors, whose sum is σ = 203885760. Its totient is φ = 11738880.

The previous prime is 51382787. The next prime is 51382813. The reversal of 51382800 is 828315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51382787) and next prime (51382813).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24181 + ... + 26219.

Almost surely, 2^51382800 is an apocalyptic number.

51382800 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 51382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101942880).

51382800 is an abundant number, since it is smaller than the sum of its proper divisors (152502960).

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

51382800 is a wasteful number, since it uses less digits than its factorization.

51382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51382800 is about 7168.1796852479. The cubic root of 51382800 is about 371.7684997382.

The spelling of 51382800 in words is "fifty-one million, three hundred eighty-two thousand, eight hundred".