786240 has 224 divisors, whose sum is σ = 3413760. Its totient is φ = 165888.

The previous prime is 786223. The next prime is 786241. The reversal of 786240 is 42687.

786240 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60474 + ... + 60486.

It is an arithmetic number, because the mean of its divisors is an integer number (15240).

2⁷⁸⁶²⁴⁰ is an apocalyptic number.

786240 is a gapful number since it is divisible by the number (70) 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 786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706880).

786240 is an abundant number, since it is smaller than the sum of its proper divisors (2627520).

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

786240 is a wasteful number, since it uses less digits than its factorization.

786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 30 counting only the distinct ones).

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

The square root of 786240 is about 886.7017536917. The cubic root of 786240 is about 92.2964601718.

The spelling of 786240 in words is "seven hundred eighty-six thousand, two hundred forty".