780385536 has 216 divisors, whose sum is σ = 2658344640. Its totient is φ = 221211648.

The previous prime is 780385519. The next prime is 780385547. The reversal of 780385536 is 635583087.

780385536 is a `hidden beast` number, since 7 + 80 + 38 + 5 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 780385491 and 780385500.

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 23 ways as a sum of consecutive naturals, for example, 6144705 + ... + 6144831.

Almost surely, 2^780385536 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 780385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329172320).

780385536 is an abundant number, since it is smaller than the sum of its proper divisors (1877959104).

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

780385536 is an equidigital number, since it uses as much as digits as its factorization.

780385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 780385536 is about 27935.3814364508. The cubic root of 780385536 is about 920.6680466099.

It can be divided in two parts, 7803 and 85536, that added together give a palindrome (93339).

The spelling of 780385536 in words is "seven hundred eighty million, three hundred eighty-five thousand, five hundred thirty-six".