83387808 has 216 divisors, whose sum is σ = 291301920. Its totient is φ = 22498560.

The previous prime is 83387797. The next prime is 83387849. The reversal of 83387808 is 80878338.

It is a Smith number, since the sum of its digits (45) 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 35 ways as a sum of consecutive naturals, for example, 267973 + ... + 268283.

It is an arithmetic number, because the mean of its divisors is an integer number (1348620).

Almost surely, 2^83387808 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 83387808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145650960).

83387808 is an abundant number, since it is smaller than the sum of its proper divisors (207914112).

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

83387808 is a wasteful number, since it uses less digits than its factorization.

83387808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 83387808 is about 9131.6925046784. The cubic root of 83387808 is about 436.8853876462.

The spelling of 83387808 in words is "eighty-three million, three hundred eighty-seven thousand, eight hundred eight".