282780814800 has 240 divisors, whose sum is σ = 990373879872. Its totient is φ = 68401459200.

The previous prime is 282780814793. The next prime is 282780814819. The reversal of 282780814800 is 8418087282.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 282780814800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6008962 + ... + 6055838.

Almost surely, 2^282780814800 is an apocalyptic number.

282780814800 is a gapful number since it is divisible by the number (20) 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 282780814800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495186939936).

282780814800 is an abundant number, since it is smaller than the sum of its proper divisors (707593065072).

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

282780814800 is a wasteful number, since it uses less digits than its factorization.

282780814800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47366 (or 47355 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The spelling of 282780814800 in words is "two hundred eighty-two billion, seven hundred eighty million, eight hundred fourteen thousand, eight hundred".