5800838400 has 324 divisors, whose sum is σ = 23703712032. Its totient is φ = 1325813760.

The previous prime is 5800838399. The next prime is 5800838423. The reversal of 5800838400 is 48380085.

5800838400 is a `hidden beast` number, since 580 + 0 + 8 + 38 + 40 + 0 = 666.

It is a super-2 number, since 2×5800838400² = 67299452285829120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396007 + ... + 410393.

Almost surely, 2^5800838400 is an apocalyptic number.

5800838400 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 5800838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851856016).

5800838400 is an abundant number, since it is smaller than the sum of its proper divisors (17902873632).

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

5800838400 is a wasteful number, since it uses less digits than its factorization.

5800838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14426 (or 14404 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5800838400 is about 76163.2352254026. The cubic root of 5800838400 is about 1796.7883470853.

The spelling of 5800838400 in words is "five billion, eight hundred million, eight hundred thirty-eight thousand, four hundred".