5802762240 has 672 divisors, whose sum is σ = 23185745856. Its totient is φ = 1380188160.

The previous prime is 5802762209. The next prime is 5802762263. The reversal of 5802762240 is 422672085.

5802762240 is a `hidden beast` number, since 5 + 8 + 0 + 27 + 622 + 4 + 0 = 666.

It is a super-2 number, since 2×5802762240² = 67344099227939635200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5802762195 and 5802762204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109486054 + ... + 109486106.

It is an arithmetic number, because the mean of its divisors is an integer number (34502598).

Almost surely, 2^5802762240 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 5802762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592872928).

5802762240 is an abundant number, since it is smaller than the sum of its proper divisors (17382983616).

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

5802762240 is an equidigital number, since it uses as much as digits as its factorization.

5802762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5802762240 is about 76175.8638940183. The cubic root of 5802762240 is about 1796.9869592505.

The spelling of 5802762240 in words is "five billion, eight hundred two million, seven hundred sixty-two thousand, two hundred forty".