5765364900 has 81 divisors (see below), whose sum is σ = 18078358753. Its totient is φ = 1536823200.

The previous prime is 5765364893. The next prime is 5765364911. The reversal of 5765364900 is 94635675.

The square root of 5765364900 is 75930.

It is a perfect power (a square), and thus also a powerful number.

5765364900 is a `hidden beast` number, since 5 + 76 + 536 + 49 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2075531364 + 3689833536 = 45558^2 + 60744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2276635 + ... + 2279165.

Almost surely, 2^5765364900 is an apocalyptic number.

5765364900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5765364900 is the 75930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5765364900

5765364900 is an abundant number, since it is smaller than the sum of its proper divisors (12312993853).

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

5765364900 is a wasteful number, since it uses less digits than its factorization.

5765364900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The cubic root of 5765364900 is about 1793.1182603776.

The spelling of 5765364900 in words is "five billion, seven hundred sixty-five million, three hundred sixty-four thousand, nine hundred".