5777844480 has 288 divisors, whose sum is σ = 21168645120. Its totient is φ = 1490780160.

The previous prime is 5777844469. The next prime is 5777844491. The reversal of 5777844480 is 844487775.

5777844480 is a `hidden beast` number, since 57 + 7 + 78 + 44 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (5777844469) and next prime (5777844491).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068664 + ... + 1074056.

It is an arithmetic number, because the mean of its divisors is an integer number (73502240).

Almost surely, 2^5777844480 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 5777844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584322560).

5777844480 is an abundant number, since it is smaller than the sum of its proper divisors (15390800640).

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

5777844480 is a wasteful number, since it uses less digits than its factorization.

5777844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The square root of 5777844480 is about 76012.1337682347. The cubic root of 5777844480 is about 1794.4111092380.

The spelling of 5777844480 in words is "five billion, seven hundred seventy-seven million, eight hundred forty-four thousand, four hundred eighty".