83785408 has 56 divisors (see below), whose sum is σ = 196596000. Its totient is φ = 34664448.

The previous prime is 83785393. The next prime is 83785409. The reversal of 83785408 is 80458738.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×83785408³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (83785409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9768 + ... + 16216.

Almost surely, 2^83785408 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 83785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98298000).

83785408 is an abundant number, since it is smaller than the sum of its proper divisors (112810592).

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

83785408 is a wasteful number, since it uses less digits than its factorization.

83785408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 83785408 is about 9153.4369501297. The cubic root of 83785408 is about 437.5786555724.

The spelling of 83785408 in words is "eighty-three million, seven hundred eighty-five thousand, four hundred eight".