82798200 has 240 divisors, whose sum is σ = 303831000. Its totient is φ = 20839680.

The previous prime is 82798187. The next prime is 82798231. The reversal of 82798200 is 289728.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 307666 + ... + 307934.

Almost surely, 2^82798200 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 82798200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151915500).

82798200 is an abundant number, since it is smaller than the sum of its proper divisors (221032800).

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

82798200 is a wasteful number, since it uses less digits than its factorization.

82798200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 82798200 is about 9099.3516252533. The cubic root of 82798200 is about 435.8532598238.

The spelling of 82798200 in words is "eighty-two million, seven hundred ninety-eight thousand, two hundred".