82999800 has 144 divisors (see below), whose sum is σ = 300267240. Its totient is φ = 20424960.

The previous prime is 82999799. The next prime is 82999811. The reversal of 82999800 is 899928.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21627 + ... + 25173.

Almost surely, 2^82999800 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 82999800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150133620).

82999800 is an abundant number, since it is smaller than the sum of its proper divisors (217267440).

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

82999800 is a wasteful number, since it uses less digits than its factorization.

82999800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 82999800 is about 9110.4226027117. The cubic root of 82999800 is about 436.2067167781.

The spelling of 82999800 in words is "eighty-two million, nine hundred ninety-nine thousand, eight hundred".