50752800 has 432 divisors, whose sum is σ = 219360960. Its totient is φ = 10782720.

The previous prime is 50752787. The next prime is 50752811. The reversal of 50752800 is 825705.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957574 + ... + 957626.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^50752800 is an apocalyptic number.

50752800 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 50752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

50752800 is an abundant number, since it is smaller than the sum of its proper divisors (168608160).

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

50752800 is a wasteful number, since it uses less digits than its factorization.

50752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 50752800 is about 7124.0999431507. The cubic root of 50752800 is about 370.2428403394.

It can be divided in two parts, 5075 and 2800, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 50752800 in words is "fifty million, seven hundred fifty-two thousand, eight hundred".