80776974385800 has 1152 divisors, whose sum is σ = 355034836316160. Its totient is φ = 15958807603200.

The previous prime is 80776974385799. The next prime is 80776974385801. The reversal of 80776974385800 is 858347967708.

80776974385800 is a `hidden beast` number, since 8 + 0 + 7 + 7 + 6 + 9 + 7 + 4 + 38 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80776974385799) and next prime (80776974385801).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (80776974385801) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 532286734 + ... + 532438466.

It is an arithmetic number, because the mean of its divisors is an integer number (308189962080).

Almost surely, 2^{80776974385800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80776974385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177517418158080).

80776974385800 is an abundant number, since it is smaller than the sum of its proper divisors (274257861930360).

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

80776974385800 is a wasteful number, since it uses less digits than its factorization.

80776974385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151963 (or 151951 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 80776974385800 in words is "eighty trillion, seven hundred seventy-six billion, nine hundred seventy-four million, three hundred eighty-five thousand, eight hundred".