5778924480 has 896 divisors, whose sum is σ = 25281331200. Its totient is φ = 1213304832.

The previous prime is 5778924469. The next prime is 5778924491. The reversal of 5778924480 is 844298775.

It is a happy number.

5778924480 is a `hidden beast` number, since 5 + 7 + 78 + 92 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (5778924469) and next prime (5778924491).

It is a super-3 number, since 3×5778924480³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54008587 + ... + 54008693.

Almost surely, 2^5778924480 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 5778924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640665600).

5778924480 is an abundant number, since it is smaller than the sum of its proper divisors (19502406720).

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

5778924480 is a wasteful number, since it uses less digits than its factorization.

5778924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 5778924480 is about 76019.2375652374. The cubic root of 5778924480 is about 1794.5229065970.

The spelling of 5778924480 in words is "five billion, seven hundred seventy-eight million, nine hundred twenty-four thousand, four hundred eighty".