83288800 has 144 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 28085760.

The previous prime is 83288791. The next prime is 83288809. The reversal of 83288800 is 888238.

It is an interprime number because it is at equal distance from previous prime (83288791) and next prime (83288809).

It is a super-3 number, since 3×83288800³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83288800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83288809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599131 + ... + 599269.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^83288800 is an apocalyptic number.

83288800 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 83288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

83288800 is an abundant number, since it is smaller than the sum of its proper divisors (152946080).

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

83288800 is a wasteful number, since it uses less digits than its factorization.

83288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 83288800 is about 9126.2697746670. The cubic root of 83288800 is about 436.7124116040.

The spelling of 83288800 in words is "eighty-three million, two hundred eighty-eight thousand, eight hundred".