5798400 has 120 divisors (see below), whose sum is σ = 19281504. Its totient is φ = 1536000.

The previous prime is 5798389. The next prime is 5798413. The reversal of 5798400 is 48975.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38325 + ... + 38475.

Almost surely, 2^5798400 is an apocalyptic number.

5798400 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 5798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640752).

5798400 is an abundant number, since it is smaller than the sum of its proper divisors (13483104).

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

5798400 is a wasteful number, since it uses less digits than its factorization.

5798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5798400 is about 2407.9867109268. The cubic root of 5798400 is about 179.6536549992.

The spelling of 5798400 in words is "five million, seven hundred ninety-eight thousand, four hundred".