5776000 has 96 divisors (see below), whose sum is σ = 15156180. Its totient is φ = 2188800.

The previous prime is 5775997. The next prime is 5776021. The reversal of 5776000 is 6775.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3904576 + 1871424 = 1976^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303991 + ... + 304009.

Almost surely, 2^5776000 is an apocalyptic number.

5776000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578090).

5776000 is an abundant number, since it is smaller than the sum of its proper divisors (9380180).

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

5776000 is an equidigital number, since it uses as much as digits as its factorization.

5776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 5776000 is about 2403.3310217280. The cubic root of 5776000 is about 179.4220143693.

The spelling of 5776000 in words is "five million, seven hundred seventy-six thousand".