785394949248 has 768 divisors, whose sum is σ = 2922441984000. Its totient is φ = 207039006720.

The previous prime is 785394949243. The next prime is 785394949271. The reversal of 785394949248 is 842949493587.

785394949248 is a `hidden beast` number, since 7 + 8 + 5 + 3 + 9 + 494 + 92 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (627056640) is a multiple of the sum of its prime factors (2187).

It is not an unprimeable number, because it can be changed into a prime (785394949243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372047713 + ... + 372049823.

It is an arithmetic number, because the mean of its divisors is an integer number (3805263000).

Almost surely, 2^785394949248 is an apocalyptic number.

785394949248 is a gapful number since it is divisible by the number (78) 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 785394949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461220992000).

785394949248 is an abundant number, since it is smaller than the sum of its proper divisors (2137047034752).

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

785394949248 is a wasteful number, since it uses less digits than its factorization.

785394949248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2136 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 785394949248 in words is "seven hundred eighty-five billion, three hundred ninety-four million, nine hundred forty-nine thousand, two hundred forty-eight".