785448480 has 192 divisors, whose sum is σ = 2565053568. Its totient is φ = 201891840.

The previous prime is 785448473. The next prime is 785448487. The reversal of 785448480 is 84844587.

785448480 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 (785448473) and next prime (785448487).

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

It is not an unprimeable number, because it can be changed into a prime (785448487) 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, 2105574 + ... + 2105946.

It is an arithmetic number, because the mean of its divisors is an integer number (13359654).

Almost surely, 2^785448480 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 785448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282526784).

785448480 is an abundant number, since it is smaller than the sum of its proper divisors (1779605088).

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

785448480 is a wasteful number, since it uses less digits than its factorization.

785448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The square root of 785448480 is about 28025.8537782527. The cubic root of 785448480 is about 922.6547768004.

The spelling of 785448480 in words is "seven hundred eighty-five million, four hundred forty-eight thousand, four hundred eighty".