780516864 has 160 divisors (see below), whose sum is σ = 2333422080. Its totient is φ = 257587200.

The previous prime is 780516857. The next prime is 780516871. The reversal of 780516864 is 468615087.

It is a happy number.

780516864 is a `hidden beast` number, since 78 + 0 + 516 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (780516857) and next prime (780516871).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1810729 + ... + 1811159.

It is an arithmetic number, because the mean of its divisors is an integer number (14583888).

Almost surely, 2^780516864 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 780516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166711040).

780516864 is an abundant number, since it is smaller than the sum of its proper divisors (1552905216).

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

780516864 is a wasteful number, since it uses less digits than its factorization.

780516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 780516864 is about 27937.7319050778. The cubic root of 780516864 is about 920.7196889096.

The spelling of 780516864 in words is "seven hundred eighty million, five hundred sixteen thousand, eight hundred sixty-four".