5778458400 has 576 divisors, whose sum is σ = 22442313600. Its totient is φ = 1273036800.

The previous prime is 5778458351. The next prime is 5778458431. The reversal of 5778458400 is 48548775.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5778458400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38781526 + ... + 38781674.

It is an arithmetic number, because the mean of its divisors is an integer number (38962350).

Almost surely, 2^5778458400 is an apocalyptic number.

5778458400 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 5778458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11221156800).

5778458400 is an abundant number, since it is smaller than the sum of its proper divisors (16663855200).

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

5778458400 is a wasteful number, since it uses less digits than its factorization.

5778458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The square root of 5778458400 is about 76016.1719636026. The cubic root of 5778458400 is about 1794.4746615343.

The spelling of 5778458400 in words is "five billion, seven hundred seventy-eight million, four hundred fifty-eight thousand, four hundred".