82873800 has 192 divisors, whose sum is σ = 290160000. Its totient is φ = 21738240.

The previous prime is 82873799. The next prime is 82873811. The reversal of 82873800 is 837828.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 556126 + ... + 556274.

It is an arithmetic number, because the mean of its divisors is an integer number (1511250).

Almost surely, 2^82873800 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 82873800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080000).

82873800 is an abundant number, since it is smaller than the sum of its proper divisors (207286200).

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

82873800 is a wasteful number, since it uses less digits than its factorization.

82873800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 82873800 is about 9103.5048195736. The cubic root of 82873800 is about 435.9858733464.

The spelling of 82873800 in words is "eighty-two million, eight hundred seventy-three thousand, eight hundred".