80117683200 has 726 divisors, whose sum is σ = 303511150494. Its totient is φ = 20961607680.

The previous prime is 80117683127. The next prime is 80117683271. The reversal of 80117683200 is 238671108.

It can be written as a sum of positive squares in 3 ways, for example, as 10218783744 + 69898899456 = 101088^2 + 264384^2 .

It is a super-2 number, since 2×80117683200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 1511654374 + ... + 1511654426.

Almost surely, 2^80117683200 is an apocalyptic number.

80117683200 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 80117683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151755575247).

80117683200 is an abundant number, since it is smaller than the sum of its proper divisors (223393467294).

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

80117683200 is an frugal number, since it uses more digits than its factorization.

80117683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 80117683200 in words is "eighty billion, one hundred seventeen million, six hundred eighty-three thousand, two hundred".