5079753000 has 960 divisors, whose sum is σ = 22252538880. Its totient is φ = 1057536000.

The previous prime is 5079752963. The next prime is 5079753001. The reversal of 5079753000 is 3579705.

5079753000 is a `hidden beast` number, since 50 + 79 + 7 + 530 + 0 + 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 not an unprimeable number, because it can be changed into a prime (5079753001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 163862985 + ... + 163863015.

It is an arithmetic number, because the mean of its divisors is an integer number (23179728).

Almost surely, 2^5079753000 is an apocalyptic number.

5079753000 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 5079753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126269440).

5079753000 is an abundant number, since it is smaller than the sum of its proper divisors (17172785880).

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

5079753000 is a wasteful number, since it uses less digits than its factorization.

5079753000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 5079753000 is about 71272.3859569749. The cubic root of 5079753000 is about 1719.0197452115.

The spelling of 5079753000 in words is "five billion, seventy-nine million, seven hundred fifty-three thousand".