82797800 has 48 divisors (see below), whose sum is σ = 193698540. Its totient is φ = 32913920.

The previous prime is 82797797. The next prime is 82797809. The reversal of 82797800 is 879728.

It can be written as a sum of positive squares in 6 ways, for example, as 23600164 + 59197636 = 4858^2 + 7694^2 .

It is not an unprimeable number, because it can be changed into a prime (82797809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33404 + ... + 35796.

Almost surely, 2^82797800 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 82797800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96849270).

82797800 is an abundant number, since it is smaller than the sum of its proper divisors (110900740).

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

82797800 is a wasteful number, since it uses less digits than its factorization.

82797800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The square root of 82797800 is about 9099.3296456387. The cubic root of 82797800 is about 435.8525579503.

The spelling of 82797800 in words is "eighty-two million, seven hundred ninety-seven thousand, eight hundred".