786420 has 72 divisors (see below), whose sum is σ = 2535624. Its totient is φ = 196608.

The previous prime is 786419. The next prime is 786431. The reversal of 786420 is 24687.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 381924 = 636^2 + 618^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 786420.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932 + ... + 3188.

It is an arithmetic number, because the mean of its divisors is an integer number (35217).

786420 is a Friedman number, since it can be written as 6*(8*4^7-2-0), using all its digits and the basic arithmetic operations.

2⁷⁸⁶⁴²⁰ 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 786420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267812).

786420 is an abundant number, since it is smaller than the sum of its proper divisors (1749204).

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

786420 is a wasteful number, since it uses less digits than its factorization.

786420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 786420 is about 886.8032476260. The cubic root of 786420 is about 92.3035030150.

The spelling of 786420 in words is "seven hundred eighty-six thousand, four hundred twenty".