80327270400 has 672 divisors, whose sum is σ = 291803510880. Its totient is φ = 19377684480.

The previous prime is 80327270369. The next prime is 80327270407. The reversal of 80327270400 is 407272308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80327270407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710860744 + ... + 710860856.

It is an arithmetic number, because the mean of its divisors is an integer number (434231415).

Almost surely, 2^80327270400 is an apocalyptic number.

80327270400 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 80327270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145901755440).

80327270400 is an abundant number, since it is smaller than the sum of its proper divisors (211476240480).

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

80327270400 is a wasteful number, since it uses less digits than its factorization.

80327270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 80327270400 in words is "eighty billion, three hundred twenty-seven million, two hundred seventy thousand, four hundred".