80314993200 has 480 divisors, whose sum is σ = 282372552000. Its totient is φ = 19395624960.

The previous prime is 80314993163. The next prime is 80314993211. The reversal of 80314993200 is 239941308.

It is a Cunningham number, because it is equal to 283399²-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253359442 + ... + 253359758.

It is an arithmetic number, because the mean of its divisors is an integer number (588276150).

Almost surely, 2^80314993200 is an apocalyptic number.

80314993200 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 80314993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141186276000).

80314993200 is an abundant number, since it is smaller than the sum of its proper divisors (202057558800).

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

80314993200 is a wasteful number, since it uses less digits than its factorization.

80314993200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 80314993200 in words is "eighty billion, three hundred fourteen million, nine hundred ninety-three thousand, two hundred".