5782096320 has 672 divisors, whose sum is σ = 24880848384. Its totient is φ = 1107025920.

The previous prime is 5782096279. The next prime is 5782096361. The reversal of 5782096320 is 236902875.

It is an interprime number because it is at equal distance from previous prime (5782096279) and next prime (5782096361).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 10570287 + ... + 10570833.

It is an arithmetic number, because the mean of its divisors is an integer number (37025072).

Almost surely, 2^5782096320 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 5782096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440424192).

5782096320 is an abundant number, since it is smaller than the sum of its proper divisors (19098752064).

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

5782096320 is a wasteful number, since it uses less digits than its factorization.

5782096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5782096320 is about 76040.0967911009. The cubic root of 5782096320 is about 1794.8511625155.

The spelling of 5782096320 in words is "five billion, seven hundred eighty-two million, ninety-six thousand, three hundred twenty".