80754115680 has 288 divisors, whose sum is σ = 320885457984. Its totient is φ = 18109698048.

The previous prime is 80754115667. The next prime is 80754115727. The reversal of 80754115680 is 8651145708.

80754115680 is a `hidden beast` number, since 8 + 0 + 75 + 4 + 11 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458662 + ... + 609818.

It is an arithmetic number, because the mean of its divisors is an integer number (1114185618).

Almost surely, 2^80754115680 is an apocalyptic number.

80754115680 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 80754115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160442728992).

80754115680 is an abundant number, since it is smaller than the sum of its proper divisors (240131342304).

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

80754115680 is a wasteful number, since it uses less digits than its factorization.

80754115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151238 (or 151227 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 80754115680 in words is "eighty billion, seven hundred fifty-four million, one hundred fifteen thousand, six hundred eighty".