5777783120 has 20 divisors (see below), whose sum is σ = 13433345940. Its totient is φ = 2311113216.

The previous prime is 5777783113. The next prime is 5777783173. The reversal of 5777783120 is 213877775.

It can be written as a sum of positive squares in 2 ways, for example, as 3622595344 + 2155187776 = 60188^2 + 46424^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36111065 + ... + 36111224.

It is an arithmetic number, because the mean of its divisors is an integer number (671667297).

Almost surely, 2^5777783120 is an apocalyptic number.

It is an amenable number.

5777783120 is an abundant number, since it is smaller than the sum of its proper divisors (7655562820).

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

5777783120 is a wasteful number, since it uses less digits than its factorization.

5777783120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72222302 (or 72222296 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 47.

The square root of 5777783120 is about 76011.7301473924. The cubic root of 5777783120 is about 1794.4047570735.

The spelling of 5777783120 in words is "five billion, seven hundred seventy-seven million, seven hundred eighty-three thousand, one hundred twenty".