780013 has 8 divisors (see below), whose sum is σ = 869400. Its totient is φ = 694848.

The previous prime is 779993. The next prime is 780029. The reversal of 780013 is 310087.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 779689 = 18^2 + 883^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 780013 - 2⁵ = 779981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658 + ... + 1411.

It is an arithmetic number, because the mean of its divisors is an integer number (108675).

2⁷⁸⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

780013 is a deficient number, since it is larger than the sum of its proper divisors (89387).

780013 is a wasteful number, since it uses less digits than its factorization.

780013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 780013 is about 883.1834464028. The cubic root of 780013 is about 92.0521522203.

The spelling of 780013 in words is "seven hundred eighty thousand, thirteen".