785281920 has 128 divisors (see below), whose sum is σ = 2550644640. Its totient is φ = 205430784.

The previous prime is 785281919. The next prime is 785281921. The reversal of 785281920 is 29182587.

785281920 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 (785281919) and next prime (785281921).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785281921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97902 + ... + 105618.

Almost surely, 2^785281920 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 785281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275322320).

785281920 is an abundant number, since it is smaller than the sum of its proper divisors (1765362720).

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

785281920 is a wasteful number, since it uses less digits than its factorization.

785281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 785281920 is about 28022.8820787584. The cubic root of 785281920 is about 922.5895536624.

The spelling of 785281920 in words is "seven hundred eighty-five million, two hundred eighty-one thousand, nine hundred twenty".