5777008 has 40 divisors (see below), whose sum is σ = 12066192. Its totient is φ = 2669568.

The previous prime is 5776999. The next prime is 5777017. The reversal of 5777008 is 8007775.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5776999) and next prime (5777017).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18066 + ... + 18382.

Almost surely, 2^5777008 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 5777008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033096).

5777008 is an abundant number, since it is smaller than the sum of its proper divisors (6289184).

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

5777008 is a wasteful number, since it uses less digits than its factorization.

5777008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 34.

The square root of 5777008 is about 2403.5407215190. The cubic root of 5777008 is about 179.4324510539.

The spelling of 5777008 in words is "five million, seven hundred seventy-seven thousand, eight".