5778330480 has 480 divisors, whose sum is σ = 22464187200. Its totient is φ = 1357019136.

The previous prime is 5778330479. The next prime is 5778330553. The reversal of 5778330480 is 840338775.

5778330480 is a `hidden beast` number, since 577 + 8 + 3 + 30 + 48 + 0 = 666.

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

It is a congruent number.

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, 14854126 + ... + 14854514.

It is an arithmetic number, because the mean of its divisors is an integer number (46800390).

Almost surely, 2^5778330480 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 5778330480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232093600).

5778330480 is an abundant number, since it is smaller than the sum of its proper divisors (16685856720).

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

5778330480 is a wasteful number, since it uses less digits than its factorization.

5778330480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5778330480 is about 76015.3305590392. The cubic root of 5778330480 is about 1794.4614197734.

The spelling of 5778330480 in words is "five billion, seven hundred seventy-eight million, three hundred thirty thousand, four hundred eighty".