5877780480 has 624 divisors, whose sum is σ = 24043009536. Its totient is φ = 1309409280.

The previous prime is 5877780463. The next prime is 5877780487. The reversal of 5877780480 is 840877785.

5877780480 is a `hidden beast` number, since 5 + 87 + 7 + 7 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5877780487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26357649 + ... + 26357871.

It is an arithmetic number, because the mean of its divisors is an integer number (38530464).

Almost surely, 2^5877780480 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 5877780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021504768).

5877780480 is an abundant number, since it is smaller than the sum of its proper divisors (18165229056).

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

5877780480 is a wasteful number, since it uses less digits than its factorization.

5877780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The square root of 5877780480 is about 76666.6842898530. The cubic root of 5877780480 is about 1804.6976552799.

The spelling of 5877780480 in words is "five billion, eight hundred seventy-seven million, seven hundred eighty thousand, four hundred eighty".