786720 has 96 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 189440.

The previous prime is 786719. The next prime is 786739. The reversal of 786720 is 27687.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 786720.

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, 5206 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁷⁸⁶⁷²⁰ 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 786720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360800).

786720 is an abundant number, since it is smaller than the sum of its proper divisors (1934880).

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

786720 is a wasteful number, since it uses less digits than its factorization.

786720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 786720 is about 886.9723783749. The cubic root of 786720 is about 92.3152386993.

It can be divided in two parts, 7867 and 20, that added together give a palindrome (7887).

The spelling of 786720 in words is "seven hundred eighty-six thousand, seven hundred twenty".