83350800 has 270 divisors, whose sum is σ = 315498222. Its totient is φ = 20367360.

The previous prime is 83350763. The next prime is 83350819. The reversal of 83350800 is 805338.

It can be written as a sum of positive squares in 9 ways, for example, as 49617936 + 33732864 = 7044^2 + 5808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 608332 + ... + 608468.

Almost surely, 2^83350800 is an apocalyptic number.

83350800 is a gapful number since it is divisible by the number (80) 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 83350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157749111).

83350800 is an abundant number, since it is smaller than the sum of its proper divisors (232147422).

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

83350800 is a wasteful number, since it uses less digits than its factorization.

83350800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 83350800 is about 9129.6659303613. The cubic root of 83350800 is about 436.8207473138.

The spelling of 83350800 in words is "eighty-three million, three hundred fifty thousand, eight hundred".