80751081600 has 1536 divisors, whose sum is σ = 359405568000. Its totient is φ = 17318707200.

The previous prime is 80751081571. The next prime is 80751081601. The reversal of 80751081600 is 618015708.

80751081600 is a `hidden beast` number, since 8 + 0 + 7 + 510 + 81 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80751081601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1106179164 + ... + 1106179236.

It is an arithmetic number, because the mean of its divisors is an integer number (233988000).

Almost surely, 2^80751081600 is an apocalyptic number.

80751081600 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 80751081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179702784000).

80751081600 is an abundant number, since it is smaller than the sum of its proper divisors (278654486400).

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

80751081600 is a wasteful number, since it uses less digits than its factorization.

80751081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

It can be divided in two parts, 8075108 and 1600, that added together give a palindrome (8076708).

The spelling of 80751081600 in words is "eighty billion, seven hundred fifty-one million, eighty-one thousand, six hundred".