785474820 has 360 divisors, whose sum is σ = 2827218240. Its totient is φ = 181958400.

The previous prime is 785474803. The next prime is 785474827. The reversal of 785474820 is 28474587.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (785474827) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 5201745 + ... + 5201895.

It is an arithmetic number, because the mean of its divisors is an integer number (7853384).

Almost surely, 2^785474820 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 785474820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413609120).

785474820 is an abundant number, since it is smaller than the sum of its proper divisors (2041743420).

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

785474820 is a wasteful number, since it uses less digits than its factorization.

785474820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 785474820 is about 28026.3236975526. The cubic root of 785474820 is about 922.6650904220.

The spelling of 785474820 in words is "seven hundred eighty-five million, four hundred seventy-four thousand, eight hundred twenty".