82831795200 has 2376 divisors, whose sum is σ = 406266943680. Its totient is φ = 15895756800.

The previous prime is 82831795199. The next prime is 82831795219. The reversal of 82831795200 is 259713828.

It is a happy number.

82831795200 is a `hidden beast` number, since 8 + 28 + 31 + 79 + 520 + 0 = 666.

It is a super-2 number, since 2×82831795200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2856268786 + ... + 2856268814.

Almost surely, 2^82831795200 is an apocalyptic number.

82831795200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82831795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203133471840).

82831795200 is an abundant number, since it is smaller than the sum of its proper divisors (323435148480).

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

82831795200 is a wasteful number, since it uses less digits than its factorization.

82831795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 82831795200 in words is "eighty-two billion, eight hundred thirty-one million, seven hundred ninety-five thousand, two hundred".