82290826800 has 1920 divisors, whose sum is σ = 387406315520. Its totient is φ = 16124313600.

The previous prime is 82290826789. The next prime is 82290826847. The reversal of 82290826800 is 862809228.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1127271564 + ... + 1127271636.

Almost surely, 2^82290826800 is an apocalyptic number.

82290826800 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 82290826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193703157760).

82290826800 is an abundant number, since it is smaller than the sum of its proper divisors (305115488720).

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

82290826800 is a wasteful number, since it uses less digits than its factorization.

82290826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 82290826800 in words is "eighty-two billion, two hundred ninety million, eight hundred twenty-six thousand, eight hundred".