785268480 has 288 divisors, whose sum is σ = 2707891200. Its totient is φ = 193314816.

The previous prime is 785268479. The next prime is 785268481. The reversal of 785268480 is 84862587.

785268480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (785268479) and next prime (785268481).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785268481) 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, 3429006 + ... + 3429234.

It is an arithmetic number, because the mean of its divisors is an integer number (9402400).

Almost surely, 2^785268480 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 785268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353945600).

785268480 is an abundant number, since it is smaller than the sum of its proper divisors (1922622720).

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

785268480 is a wasteful number, since it uses less digits than its factorization.

785268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 785268480 is about 28022.6422737043. The cubic root of 785268480 is about 922.5842902982.

The spelling of 785268480 in words is "seven hundred eighty-five million, two hundred sixty-eight thousand, four hundred eighty".