5777640 has 96 divisors (see below), whose sum is σ = 20498400. Its totient is φ = 1399680.

The previous prime is 5777633. The next prime is 5777657. The reversal of 5777640 is 467775.

5777640 is a `hidden beast` number, since 5 + 7 + 7 + 7 + 640 = 666.

It is a super-2 number, since 2×5777640² = 66762247939200, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 5 + 7⁴ + 7⁴ + 7⁸ + 6⁵ + 4⁴ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 5777595 and 5777604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3231 + ... + 4689.

It is an arithmetic number, because the mean of its divisors is an integer number (213525).

Almost surely, 2^5777640 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 5777640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10249200).

5777640 is an abundant number, since it is smaller than the sum of its proper divisors (14720760).

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

5777640 is a wasteful number, since it uses less digits than its factorization.

5777640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 5777640 is about 2403.6721906283. The cubic root of 5777640 is about 179.4389940703.

The spelling of 5777640 in words is "five million, seven hundred seventy-seven thousand, six hundred forty".