5797680 has 240 divisors, whose sum is σ = 22900320. Its totient is φ = 1204224.

The previous prime is 5797669. The next prime is 5797741. The reversal of 5797680 is 867975.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5797680² = 67226186764800, which contains 22 as substring.

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

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199906 + ... + 199934.

It is an arithmetic number, because the mean of its divisors is an integer number (95418).

Almost surely, 2^5797680 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 5797680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450160).

5797680 is an abundant number, since it is smaller than the sum of its proper divisors (17102640).

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

5797680 is a wasteful number, since it uses less digits than its factorization.

5797680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 5797680 is about 2407.8372037993. The cubic root of 5797680 is about 179.6462186957.

The spelling of 5797680 in words is "five million, seven hundred ninety-seven thousand, six hundred eighty".