5678400 has 252 divisors, whose sum is σ = 23055072. Its totient is φ = 1198080.

The previous prime is 5678347. The next prime is 5678411. The reversal of 5678400 is 48765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

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, 436794 + ... + 436806.

Almost surely, 2^5678400 is an apocalyptic number.

5678400 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 5678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11527536).

5678400 is an abundant number, since it is smaller than the sum of its proper divisors (17376672).

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

5678400 is a wasteful number, since it uses less digits than its factorization.

5678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5678400 is about 2382.9393613770. The cubic root of 5678400 is about 178.4056732362.

The spelling of 5678400 in words is "five million, six hundred seventy-eight thousand, four hundred".