785433348 has 252 divisors, whose sum is σ = 2511976320. Its totient is φ = 213754464.

The previous prime is 785433301. The next prime is 785433349. The reversal of 785433348 is 843334587.

785433348 is a `hidden beast` number, since 78 + 543 + 3 + 34 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-4 number, since 4×785433348⁴ (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (785433349) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3286213 + ... + 3286451.

It is an arithmetic number, because the mean of its divisors is an integer number (9968160).

Almost surely, 2^785433348 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 785433348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255988160).

785433348 is an abundant number, since it is smaller than the sum of its proper divisors (1726542972).

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

785433348 is a wasteful number, since it uses less digits than its factorization.

785433348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 785433348 is about 28025.5838119387. The cubic root of 785433348 is about 922.6488516497.

The spelling of 785433348 in words is "seven hundred eighty-five million, four hundred thirty-three thousand, three hundred forty-eight".