80923852800 has 756 divisors, whose sum is σ = 338060741200. Its totient is φ = 18496880640.

The previous prime is 80923852781. The next prime is 80923852913. The reversal of 80923852800 is 825832908.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

80923852800 is a `hidden beast` number, since 8 + 0 + 92 + 38 + 528 + 0 + 0 = 666.

It is a super-3 number, since 3×80923852800³ (a number of 34 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11560550397 + ... + 11560550403.

Almost surely, 2^80923852800 is an apocalyptic number.

80923852800 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 80923852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169030370600).

80923852800 is an abundant number, since it is smaller than the sum of its proper divisors (257136888400).

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

80923852800 is an frugal number, since it uses more digits than its factorization.

80923852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 80923852800 in words is "eighty billion, nine hundred twenty-three million, eight hundred fifty-two thousand, eight hundred".