80075762784 has 192 divisors, whose sum is σ = 237140064000. Its totient is φ = 26612675712.

The previous prime is 80075762783. The next prime is 80075762801. The reversal of 80075762784 is 48726757008.

It is a happy number.

80075762784 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 5 + 7 + 627 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 80075762784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80075762783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26522427 + ... + 26525445.

It is an arithmetic number, because the mean of its divisors is an integer number (1235104500).

Almost surely, 2^80075762784 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 80075762784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118570032000).

80075762784 is an abundant number, since it is smaller than the sum of its proper divisors (157064301216).

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

80075762784 is an equidigital number, since it uses as much as digits as its factorization.

80075762784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 80075762784 in words is "eighty billion, seventy-five million, seven hundred sixty-two thousand, seven hundred eighty-four".