5782405500 has 288 divisors, whose sum is σ = 19495764288. Its totient is φ = 1437696000.

The previous prime is 5782405487. The next prime is 5782405529. The reversal of 5782405500 is 55042875.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10021212 + ... + 10021788.

It is an arithmetic number, because the mean of its divisors is an integer number (67693626).

Almost surely, 2^5782405500 is an apocalyptic number.

5782405500 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 5782405500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9747882144).

5782405500 is an abundant number, since it is smaller than the sum of its proper divisors (13713358788).

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

5782405500 is a wasteful number, since it uses less digits than its factorization.

5782405500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5782405500 is about 76042.1297702793. The cubic root of 5782405500 is about 1794.8831533461.

It can be divided in two parts, 578240 and 5500, that added together give a triangular number (583740 = T₁₀₈₀).

The spelling of 5782405500 in words is "five billion, seven hundred eighty-two million, four hundred five thousand, five hundred".