5780008080 has 480 divisors, whose sum is σ = 24409651968. Its totient is φ = 1190707200.

The previous prime is 5780008057. The next prime is 5780008127. The reversal of 5780008080 is 808000875.

5780008080 is a `hidden beast` number, since 578 + 0 + 0 + 0 + 8 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7594900 + ... + 7595660.

Almost surely, 2^5780008080 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 5780008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12204825984).

5780008080 is an abundant number, since it is smaller than the sum of its proper divisors (18629643888).

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

5780008080 is a wasteful number, since it uses less digits than its factorization.

5780008080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 5780008080 is about 76026.3643744721. The cubic root of 5780008080 is about 1794.6350626162.

The spelling of 5780008080 in words is "five billion, seven hundred eighty million, eight thousand, eighty".