80319734352 has 320 divisors, whose sum is σ = 286789144320. Its totient is φ = 21145190400.

The previous prime is 80319734323. The next prime is 80319734353. The reversal of 80319734352 is 25343791308.

80319734352 is a `hidden beast` number, since 80 + 3 + 197 + 34 + 352 = 666.

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 junction number, because it is equal to n+sod(n) for n = 80319734298 and 80319734307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80319734353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1011952 + ... + 1088432.

It is an arithmetic number, because the mean of its divisors is an integer number (896216076).

Almost surely, 2^80319734352 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 80319734352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143394572160).

80319734352 is an abundant number, since it is smaller than the sum of its proper divisors (206469409968).

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

80319734352 is a wasteful number, since it uses less digits than its factorization.

80319734352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76539 (or 76527 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 80319734352 in words is "eighty billion, three hundred nineteen million, seven hundred thirty-four thousand, three hundred fifty-two".