82791800 has 96 divisors (see below), whose sum is σ = 236964000. Its totient is φ = 26196480.

The previous prime is 82791773. The next prime is 82791817. The reversal of 82791800 is 819728.

It is a happy number.

It is a Cunningham number, because it is equal to 9099²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15926 + ... + 20474.

It is an arithmetic number, because the mean of its divisors is an integer number (2468375).

Almost surely, 2^82791800 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 82791800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118482000).

82791800 is an abundant number, since it is smaller than the sum of its proper divisors (154172200).

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

82791800 is a wasteful number, since it uses less digits than its factorization.

82791800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 82791800 is about 9098.9999450489. Note that the first 4 decimals coincide. The cubic root of 82791800 is about 435.8420295767.

The spelling of 82791800 in words is "eighty-two million, seven hundred ninety-one thousand, eight hundred".