5787802800 has 720 divisors, whose sum is σ = 23842640640. Its totient is φ = 1286461440.

The previous prime is 5787802799. The next prime is 5787802829. The reversal of 5787802800 is 82087875.

It is a happy number.

5787802800 is a `hidden beast` number, since 578 + 78 + 0 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5787802800² = 66997322503375680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20451459 + ... + 20451741.

Almost surely, 2^5787802800 is an apocalyptic number.

5787802800 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 5787802800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11921320320).

5787802800 is an abundant number, since it is smaller than the sum of its proper divisors (18054837840).

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

5787802800 is a wasteful number, since it uses less digits than its factorization.

5787802800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 5787802800 is about 76077.6103725663. The cubic root of 5787802800 is about 1795.4414279426.

The spelling of 5787802800 in words is "five billion, seven hundred eighty-seven million, eight hundred two thousand, eight hundred".