83767808 has 80 divisors (see below), whose sum is σ = 180048000. Its totient is φ = 38817792.

The previous prime is 83767807. The next prime is 83767829. The reversal of 83767808 is 80876738.

It is not an unprimeable number, because it can be changed into a prime (83767807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 768458 + ... + 768566.

It is an arithmetic number, because the mean of its divisors is an integer number (2250600).

Almost surely, 2^83767808 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 83767808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90024000).

83767808 is an abundant number, since it is smaller than the sum of its proper divisors (96280192).

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

83767808 is a wasteful number, since it uses less digits than its factorization.

83767808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The square root of 83767808 is about 9152.4755121224. The cubic root of 83767808 is about 437.5480141046.

The spelling of 83767808 in words is "eighty-three million, seven hundred sixty-seven thousand, eight hundred eight".