80407672771200 has 384 divisors, whose sum is σ = 271138294996800. Its totient is φ = 20932853760000.

The previous prime is 80407672771193. The next prime is 80407672771229. The reversal of 80407672771200 is 217727670408.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837523200 + ... + 837619200.

Almost surely, 2^{80407672771200} is an apocalyptic number.

80407672771200 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 80407672771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135569147498400).

80407672771200 is an abundant number, since it is smaller than the sum of its proper divisors (190730622225600).

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

80407672771200 is a wasteful number, since it uses less digits than its factorization.

80407672771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98100 (or 98083 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 51.

The spelling of 80407672771200 in words is "eighty trillion, four hundred seven billion, six hundred seventy-two million, seven hundred seventy-one thousand, two hundred".