51200080 has 60 divisors (see below), whose sum is σ = 123448572. Its totient is φ = 19747840.

The previous prime is 51200069. The next prime is 51200089. The reversal of 51200080 is 8000215.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8271376 + 42928704 = 2876^2 + 6552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51200089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66900 + ... + 67660.

Almost surely, 2^51200080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61724286).

51200080 is an abundant number, since it is smaller than the sum of its proper divisors (72248492).

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

51200080 is a wasteful number, since it uses less digits than its factorization.

51200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 51200080 is about 7155.4231181671. The cubic root of 51200080 is about 371.3273000885.

Adding to 51200080 its reverse (8000215), we get a palindrome (59200295).

It can be divided in two parts, 512000 and 80, that multiplied together give a 4-th power (40960000 = 80⁴).

The spelling of 51200080 in words is "fifty-one million, two hundred thousand, eighty".