5040079200 has 720 divisors, whose sum is σ = 20538435456. Its totient is φ = 1194393600.

The previous prime is 5040079183. The next prime is 5040079207. The reversal of 5040079200 is 29700405.

5040079200 is a `hidden beast` number, since 50 + 400 + 7 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040079207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26114304 + ... + 26114496.

Almost surely, 2^5040079200 is an apocalyptic number.

5040079200 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 5040079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10269217728).

5040079200 is an abundant number, since it is smaller than the sum of its proper divisors (15498356256).

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

5040079200 is a wasteful number, since it uses less digits than its factorization.

5040079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5040079200 is about 70993.5151968122. The cubic root of 5040079200 is about 1714.5327572545.

Adding to 5040079200 its reverse (29700405), we get a palindrome (5069779605).

It can be divided in two parts, 50400 and 79200, that added together give a square (129600 = 360²).

The spelling of 5040079200 in words is "five billion, forty million, seventy-nine thousand, two hundred".