786480 has 80 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 200704.

The previous prime is 786469. The next prime is 786491. The reversal of 786480 is 84687.

786480 = 141² + 142² + ... + 172².

It is an interprime number because it is at equal distance from previous prime (786469) and next prime (786491).

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

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, 6904 + ... + 7016.

It is an arithmetic number, because the mean of its divisors is an integer number (31806).

786480 is a Friedman number, since it can be written as 6*(8+8*(4+0)^7), using all its digits and the basic arithmetic operations.

2⁷⁸⁶⁴⁸⁰ 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 786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

786480 is an abundant number, since it is smaller than the sum of its proper divisors (1758000).

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

786480 is a wasteful number, since it uses less digits than its factorization.

786480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 786480 is about 886.8370763562. The cubic root of 786480 is about 92.3058503906.

The spelling of 786480 in words is "seven hundred eighty-six thousand, four hundred eighty".