5782261680 has 320 divisors, whose sum is σ = 22712296320. Its totient is φ = 1339490304.

The previous prime is 5782261673. The next prime is 5782261753. The reversal of 5782261680 is 861622875.

5782261680 is a `hidden beast` number, since 5 + 7 + 8 + 22 + 616 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471304 + ... + 483416.

It is an arithmetic number, because the mean of its divisors is an integer number (70975926).

Almost surely, 2^5782261680 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 5782261680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11356148160).

5782261680 is an abundant number, since it is smaller than the sum of its proper divisors (16930034640).

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

5782261680 is a wasteful number, since it uses less digits than its factorization.

5782261680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12165 (or 12153 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5782261680 is about 76041.1841044049. The cubic root of 5782261680 is about 1794.8682724437.

The spelling of 5782261680 in words is "five billion, seven hundred eighty-two million, two hundred sixty-one thousand, six hundred eighty".