5775422400 has 756 divisors, whose sum is σ = 23867952264. Its totient is φ = 1313280000.

The previous prime is 5775422363. The next prime is 5775422423. The reversal of 5775422400 is 42245775.

It is a happy number.

5775422400 is a `hidden beast` number, since 5 + 77 + 542 + 2 + 40 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 57182350 + ... + 57182450.

Almost surely, 2^5775422400 is an apocalyptic number.

5775422400 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 5775422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11933976132).

5775422400 is an abundant number, since it is smaller than the sum of its proper divisors (18092529864).

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

5775422400 is a wasteful number, since it uses less digits than its factorization.

5775422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 5775422400 is about 75996.1999049952. The cubic root of 5775422400 is about 1794.1603343612.

It can be divided in two parts, 57 and 75422400, that added together give a palindrome (75422457).

The spelling of 5775422400 in words is "five billion, seven hundred seventy-five million, four hundred twenty-two thousand, four hundred".