5778045000 has 960 divisors, whose sum is σ = 25790244480. Its totient is φ = 1133568000.

The previous prime is 5778044971. The next prime is 5778045011. The reversal of 5778045000 is 5408775.

5778045000 is a `hidden beast` number, since 5 + 77 + 80 + 4 + 500 + 0 = 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 239 ways as a sum of consecutive naturals, for example, 69614959 + ... + 69615041.

It is an arithmetic number, because the mean of its divisors is an integer number (26864838).

Almost surely, 2^5778045000 is an apocalyptic number.

5778045000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5778045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12895122240).

5778045000 is an abundant number, since it is smaller than the sum of its proper divisors (20012199480).

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

5778045000 is a wasteful number, since it uses less digits than its factorization.

5778045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5778045000 is about 76013.4527567325. The cubic root of 5778045000 is about 1794.4318673341.

The spelling of 5778045000 in words is "five billion, seven hundred seventy-eight million, forty-five thousand".