785549664 has 120 divisors (see below), whose sum is σ = 2373009408. Its totient is φ = 254741760.

The previous prime is 785549629. The next prime is 785549683. The reversal of 785549664 is 466945587.

It is a super-2 number, since 2×785549664² = 1234176549221025792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 785549664.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 91809 + ... + 99999.

Almost surely, 2^785549664 is an apocalyptic number.

785549664 is a gapful number since it is divisible by the number (74) 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 785549664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186504704).

785549664 is an abundant number, since it is smaller than the sum of its proper divisors (1587459744).

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

785549664 is a wasteful number, since it uses less digits than its factorization.

785549664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8233 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 785549664 is about 28027.6589104406. The cubic root of 785549664 is about 922.6943948847.

The spelling of 785549664 in words is "seven hundred eighty-five million, five hundred forty-nine thousand, six hundred sixty-four".