5777240 has 64 divisors (see below), whose sum is σ = 15206400. Its totient is φ = 1934208.

The previous prime is 5777237. The next prime is 5777279. The reversal of 5777240 is 427775.

It is a happy number.

It is a d-powerful number, because it can be written as 5⁵ + 7² + 7² + 7⁸ + 2¹³ + 4⁵ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 5777197 and 5777206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12941 + ... + 13379.

It is an arithmetic number, because the mean of its divisors is an integer number (237600).

Almost surely, 2^5777240 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 5777240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603200).

5777240 is an abundant number, since it is smaller than the sum of its proper divisors (9429160).

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

5777240 is a wasteful number, since it uses less digits than its factorization.

5777240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 32.

The square root of 5777240 is about 2403.5889831666. The cubic root of 5777240 is about 179.4348529761.

The spelling of 5777240 in words is "five million, seven hundred seventy-seven thousand, two hundred forty".