6077840 has 80 divisors (see below), whose sum is σ = 15467760. Its totient is φ = 2211840.

The previous prime is 6077837. The next prime is 6077861. The reversal of 6077840 is 487706.

It can be written as a sum of positive squares in 8 ways, for example, as 65536 + 6012304 = 256^2 + 2452^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6077797 and 6077806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55706 + ... + 55814.

It is an arithmetic number, because the mean of its divisors is an integer number (193347).

Almost surely, 2^6077840 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 6077840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733880).

6077840 is an abundant number, since it is smaller than the sum of its proper divisors (9389920).

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

6077840 is a wasteful number, since it uses less digits than its factorization.

6077840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 6077840 is about 2465.3275644425. The cubic root of 6077840 is about 182.4944891061.

The spelling of 6077840 in words is "six million, seventy-seven thousand, eight hundred forty".