780012 has 36 divisors (see below), whose sum is σ = 2018016. Its totient is φ = 253920.

The previous prime is 779993. The next prime is 780029. The reversal of 780012 is 210087.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam 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 11 ways as a sum of consecutive naturals, for example, 1462 + ... + 1922.

It is an arithmetic number, because the mean of its divisors is an integer number (56056).

2⁷⁸⁰⁰¹² 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 780012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009008).

780012 is an abundant number, since it is smaller than the sum of its proper divisors (1238004).

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

780012 is a wasteful number, since it uses less digits than its factorization.

780012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 780012 is about 883.1828802689. The cubic root of 780012 is about 92.0521128824.

780012 divided by its sum of digits (18) gives a palindrome (43334).

Adding to 780012 its reverse (210087), we get a palindrome (990099).

The spelling of 780012 in words is "seven hundred eighty thousand, twelve".