2077840 has 40 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 786816.

The previous prime is 2077813. The next prime is 2077841. The reversal of 2077840 is 487702.

2077840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 13.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2077799 and 2077808.

It is not an unprimeable number, because it can be changed into a prime (2077841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837 + ... + 2203.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

2^2077840 is an apocalyptic number.

2077840 is a gapful number since it is divisible by the number (20) 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 2077840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480).

2077840 is an abundant number, since it is smaller than the sum of its proper divisors (3011120).

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

2077840 is a wasteful number, since it uses less digits than its factorization.

2077840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 2077840 is about 1441.4714704079. The cubic root of 2077840 is about 127.6058841048.

The spelling of 2077840 in words is "two million, seventy-seven thousand, eight hundred forty".