5761980 has 144 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 1234944.

The previous prime is 5761927. The next prime is 5761991. The reversal of 5761980 is 891675.

5761980 is a `hidden beast` number, since 576 + 1 + 9 + 80 = 666.

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

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21286 + ... + 21554.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^5761980 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 5761980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

5761980 is an abundant number, since it is smaller than the sum of its proper divisors (15466500).

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

5761980 is a wasteful number, since it uses less digits than its factorization.

5761980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5761980 is about 2400.4124645569. The cubic root of 5761980 is about 179.2767272810.

It can be divided in two parts, 576 and 1980, that added together give a triangular number (2556 = T₇₁).

The spelling of 5761980 in words is "five million, seven hundred sixty-one thousand, nine hundred eighty".