51070800 has 240 divisors, whose sum is σ = 184327488. Its totient is φ = 11980800.

The previous prime is 51070777. The next prime is 51070807. The reversal of 51070800 is 807015.

It is a happy number.

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

It is a super-2 number, since 2×51070800² = 5216453225280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51070807) 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 47 ways as a sum of consecutive naturals, for example, 699564 + ... + 699636.

Almost surely, 2^51070800 is an apocalyptic number.

51070800 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 51070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92163744).

51070800 is an abundant number, since it is smaller than the sum of its proper divisors (133256688).

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

51070800 is a wasteful number, since it uses less digits than its factorization.

51070800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 51070800 is about 7146.3837008658. The cubic root of 51070800 is about 371.0145033478.

Adding to 51070800 its reverse (807015), we get a palindrome (51877815).

The spelling of 51070800 in words is "fifty-one million, seventy thousand, eight hundred".