5790299760 has 240 divisors, whose sum is σ = 22269663936. Its totient is φ = 1320763392.

The previous prime is 5790299759. The next prime is 5790299777. The reversal of 5790299760 is 679920975.

5790299760 is a `hidden beast` number, since 579 + 0 + 2 + 9 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 5790299697 and 5790299706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3411232 + ... + 3412928.

Almost surely, 2^5790299760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5790299760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134831968).

5790299760 is an abundant number, since it is smaller than the sum of its proper divisors (16479364176).

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

5790299760 is a wasteful number, since it uses less digits than its factorization.

5790299760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 5790299760 is about 76094.0192130761. The cubic root of 5790299760 is about 1795.6995858328.

The spelling of 5790299760 in words is "five billion, seven hundred ninety million, two hundred ninety-nine thousand, seven hundred sixty".