5762880 has 224 divisors, whose sum is σ = 21945600. Its totient is φ = 1419264.

The previous prime is 5762863. The next prime is 5762891. The reversal of 5762880 is 882675.

5762880 is a `hidden beast` number, since 576 + 2 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198706 + ... + 198734.

Almost surely, 2^5762880 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 5762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

5762880 is an abundant number, since it is smaller than the sum of its proper divisors (16182720).

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

5762880 is a wasteful number, since it uses less digits than its factorization.

5762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5762880 is about 2400.5999250187. The cubic root of 5762880 is about 179.2860609160.

The spelling of 5762880 in words is "five million, seven hundred sixty-two thousand, eight hundred eighty".