5765937760 has 192 divisors, whose sum is σ = 15485359680. Its totient is φ = 2009620480.

The previous prime is 5765937757. The next prime is 5765937767. The reversal of 5765937760 is 677395675.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5765937767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8829594 + ... + 8830246.

It is an arithmetic number, because the mean of its divisors is an integer number (80652915).

Almost surely, 2^5765937760 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 5765937760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7742679840).

5765937760 is an abundant number, since it is smaller than the sum of its proper divisors (9719421920).

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

5765937760 is a wasteful number, since it uses less digits than its factorization.

5765937760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 8334900, while the sum is 55.

The square root of 5765937760 is about 75933.7721965661. The cubic root of 5765937760 is about 1793.1776478708.

The spelling of 5765937760 in words is "five billion, seven hundred sixty-five million, nine hundred thirty-seven thousand, seven hundred sixty".