5752879200 has 432 divisors, whose sum is σ = 21318229296. Its totient is φ = 1513728000.

The previous prime is 5752879159. The next prime is 5752879211. The reversal of 5752879200 is 29782575.

It is a happy number.

5752879200 is a `hidden beast` number, since 57 + 528 + 79 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 19634254 + ... + 19634546.

It is an arithmetic number, because the mean of its divisors is an integer number (49347753).

Almost surely, 2^5752879200 is an apocalyptic number.

5752879200 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 5752879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659114648).

5752879200 is an abundant number, since it is smaller than the sum of its proper divisors (15565350096).

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

5752879200 is a wasteful number, since it uses less digits than its factorization.

5752879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5752879200 is about 75847.7369471232. The cubic root of 5752879200 is about 1791.8229091315.

The spelling of 5752879200 in words is "five billion, seven hundred fifty-two million, eight hundred seventy-nine thousand, two hundred".