785949440 has 144 divisors (see below), whose sum is σ = 2099351520. Its totient is φ = 280166400.

The previous prime is 785949407. The next prime is 785949467. The reversal of 785949440 is 44949587.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412490 + ... + 414390.

It is an arithmetic number, because the mean of its divisors is an integer number (14578830).

Almost surely, 2^785949440 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 785949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049675760).

785949440 is an abundant number, since it is smaller than the sum of its proper divisors (1313402080).

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

785949440 is a wasteful number, since it uses less digits than its factorization.

785949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 785949440 is about 28034.7898155132. The cubic root of 785949440 is about 922.8508918934.

The spelling of 785949440 in words is "seven hundred eighty-five million, nine hundred forty-nine thousand, four hundred forty".