80480764280400 has 480 divisors, whose sum is σ = 283906243420800. Its totient is φ = 19325885644800.

The previous prime is 80480764280347. The next prime is 80480764280417. The reversal of 80480764280400 is 408246708408.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7149391572 + ... + 7149402828.

It is an arithmetic number, because the mean of its divisors is an integer number (591471340460).

Almost surely, 2^{80480764280400} is an apocalyptic number.

80480764280400 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 80480764280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141953121710400).

80480764280400 is an abundant number, since it is smaller than the sum of its proper divisors (203425479140400).

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

80480764280400 is a wasteful number, since it uses less digits than its factorization.

80480764280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16367 (or 16356 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 51.

The spelling of 80480764280400 in words is "eighty trillion, four hundred eighty billion, seven hundred sixty-four million, two hundred eighty thousand, four hundred".