785145480 has 128 divisors (see below), whose sum is σ = 2809036800. Its totient is φ = 171654912.

The previous prime is 785145479. The next prime is 785145497. The reversal of 785145480 is 84541587.

785145480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000 + ... + 39639.

It is an arithmetic number, because the mean of its divisors is an integer number (21945600).

Almost surely, 2^785145480 is an apocalyptic number.

785145480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785145480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404518400).

785145480 is an abundant number, since it is smaller than the sum of its proper divisors (2023891320).

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

785145480 is a wasteful number, since it uses less digits than its factorization.

785145480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40683 (or 40679 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 785145480 is about 28020.4475338992. The cubic root of 785145480 is about 922.5361183265.

The spelling of 785145480 in words is "seven hundred eighty-five million, one hundred forty-five thousand, four hundred eighty".