5578760 has 64 divisors (see below), whose sum is σ = 14169600. Its totient is φ = 1958400.

The previous prime is 5578757. The next prime is 5578763. The reversal of 5578760 is 678755.

It is an interprime number because it is at equal distance from previous prime (5578757) and next prime (5578763).

It is a super-2 number, since 2×5578760² = 62245126275200, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5578763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13436 + ... + 13844.

It is an arithmetic number, because the mean of its divisors is an integer number (221400).

Almost surely, 2^5578760 is an apocalyptic number.

5578760 is the 1364-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5578760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084800).

5578760 is an abundant number, since it is smaller than the sum of its proper divisors (8590840).

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

5578760 is a wasteful number, since it uses less digits than its factorization.

5578760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 5578760 is about 2361.9398806913. The cubic root of 5578760 is about 177.3560030315.

The spelling of 5578760 in words is "five million, five hundred seventy-eight thousand, seven hundred sixty".