51796800 has 336 divisors, whose sum is σ = 207873600. Its totient is φ = 12441600.

The previous prime is 51796799. The next prime is 51796819. The reversal of 51796800 is 869715.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 475146 + ... + 475254.

Almost surely, 2^51796800 is an apocalyptic number.

51796800 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 51796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103936800).

51796800 is an abundant number, since it is smaller than the sum of its proper divisors (156076800).

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

51796800 is a wasteful number, since it uses less digits than its factorization.

51796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 51796800 is about 7196.9993747394. Note that the first 3 decimals coincide. The cubic root of 51796800 is about 372.7642975136.

The spelling of 51796800 in words is "fifty-one million, seven hundred ninety-six thousand, eight hundred".