5782752900 has 108 divisors (see below), whose sum is σ = 18142877844. Its totient is φ = 1540608000.

The previous prime is 5782752893. The next prime is 5782752901. The reversal of 5782752900 is 92572875.

It is a happy number.

5782752900 is a `hidden beast` number, since 578 + 2 + 75 + 2 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 511121664 + 5271631236 = 22608^2 + 72606^2 .

It is a super-2 number, since 2×5782752900² = 66880462204916820000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5782752901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1222540 + ... + 1227260.

Almost surely, 2^5782752900 is an apocalyptic number.

5782752900 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 5782752900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9071438922).

5782752900 is an abundant number, since it is smaller than the sum of its proper divisors (12360124944).

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

5782752900 is a wasteful number, since it uses less digits than its factorization.

5782752900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102 (or 6092 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5782752900 is about 76044.4139960326. The cubic root of 5782752900 is about 1794.9190974366.

The spelling of 5782752900 in words is "five billion, seven hundred eighty-two million, seven hundred fifty-two thousand, nine hundred".