5682076800 has 384 divisors, whose sum is σ = 19698501120. Its totient is φ = 1437696000.

The previous prime is 5682076793. The next prime is 5682076819. The reversal of 5682076800 is 86702865.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×5682076800³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 18153444 + ... + 18153756.

It is an arithmetic number, because the mean of its divisors is an integer number (51298180).

Almost surely, 2^5682076800 is an apocalyptic number.

5682076800 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 5682076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849250560).

5682076800 is an abundant number, since it is smaller than the sum of its proper divisors (14016424320).

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

5682076800 is a wasteful number, since it uses less digits than its factorization.

5682076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 5682076800 is about 75379.5516038667. The cubic root of 5682076800 is about 1784.4417119630.

The spelling of 5682076800 in words is "five billion, six hundred eighty-two million, seventy-six thousand, eight hundred".