83850800 has 240 divisors, whose sum is σ = 249091200. Its totient is φ = 26726400.

The previous prime is 83850799. The next prime is 83850827. The reversal of 83850800 is 805838.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1421171 + ... + 1421229.

It is an arithmetic number, because the mean of its divisors is an integer number (1037880).

Almost surely, 2^83850800 is an apocalyptic number.

83850800 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 83850800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124545600).

83850800 is an abundant number, since it is smaller than the sum of its proper divisors (165240400).

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

83850800 is a wasteful number, since it uses less digits than its factorization.

83850800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 83850800 is about 9157.0082450547. The cubic root of 83850800 is about 437.6924649783.

The spelling of 83850800 in words is "eighty-three million, eight hundred fifty thousand, eight hundred".