5780088720 has 400 divisors, whose sum is σ = 23247797760. Its totient is φ = 1303630848.

The previous prime is 5780088719. The next prime is 5780088731. The reversal of 5780088720 is 278800875.

It is a happy number.

5780088720 is a `hidden beast` number, since 578 + 0 + 0 + 8 + 8 + 72 + 0 = 666.

It is a super-2 number, since 2×5780088720² = 66818851222142476800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3582634 + ... + 3584246.

Almost surely, 2^5780088720 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 5780088720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623898880).

5780088720 is an abundant number, since it is smaller than the sum of its proper divisors (17467709040).

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

5780088720 is a wasteful number, since it uses less digits than its factorization.

5780088720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 5780088720 is about 76026.8947149625. The cubic root of 5780088720 is about 1794.6434085503.

The spelling of 5780088720 in words is "five billion, seven hundred eighty million, eighty-eight thousand, seven hundred twenty".