51802800 has 180 divisors, whose sum is σ = 193253256. Its totient is φ = 11827200.

The previous prime is 51802781. The next prime is 51802801. The reversal of 51802800 is 820815.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51802801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58360 + ... + 59240.

Almost surely, 2^51802800 is an apocalyptic number.

51802800 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 51802800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96626628).

51802800 is an abundant number, since it is smaller than the sum of its proper divisors (141450456).

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

51802800 is a wasteful number, since it uses less digits than its factorization.

51802800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 51802800 is about 7197.4162030551. The cubic root of 51802800 is about 372.7786902910.

The spelling of 51802800 in words is "fifty-one million, eight hundred two thousand, eight hundred".