5785920 has 252 divisors, whose sum is σ = 23714964. Its totient is φ = 1290240.

The previous prime is 5785891. The next prime is 5785973. The reversal of 5785920 is 295875.

5785920 = T₈₃ + T₈₄ + ... + T₃₂₇.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 4769856 = 1008^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 5 + 7⁸ + 8⁴ + 5⁴ + 9 + 2¹⁴ + 0 .

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141100 + ... + 141140.

It is an arithmetic number, because the mean of its divisors is an integer number (94107).

Almost surely, 2^5785920 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 5785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857482).

5785920 is an abundant number, since it is smaller than the sum of its proper divisors (17929044).

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

5785920 is a wasteful number, since it uses less digits than its factorization.

5785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5785920 is about 2405.3939386304. The cubic root of 5785920 is about 179.5246718260.

The spelling of 5785920 in words is "five million, seven hundred eighty-five thousand, nine hundred twenty".