80723263068000 has 1152 divisors, whose sum is σ = 352832056012800. Its totient is φ = 17855800704000.

The previous prime is 80723263067957. The next prime is 80723263068017. The reversal of 80723263068000 is 86036232708.

80723263068000 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 3 + 2 + 630 + 6 + 8 + 0 + 0 + 0 = 666.

80723263068000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163805971 + ... + 164298029.

It is an arithmetic number, because the mean of its divisors is an integer number (306277826400).

Almost surely, 2^{80723263068000} is an apocalyptic number.

80723263068000 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 80723263068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176416028006400).

80723263068000 is an abundant number, since it is smaller than the sum of its proper divisors (272108792944800).

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

80723263068000 is a wasteful number, since it uses less digits than its factorization.

80723263068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492138 (or 492107 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 80723263068000 in words is "eighty trillion, seven hundred twenty-three billion, two hundred sixty-three million, sixty-eight thousand".