80106734400 has 672 divisors, whose sum is σ = 329658805248. Its totient is φ = 16544563200.

The previous prime is 80106734387. The next prime is 80106734401. The reversal of 80106734400 is 443760108.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80106734401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71332239 + ... + 71333361.

Almost surely, 2^80106734400 is an apocalyptic number.

80106734400 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 80106734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164829402624).

80106734400 is an abundant number, since it is smaller than the sum of its proper divisors (249552070848).

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

80106734400 is a wasteful number, since it uses less digits than its factorization.

80106734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 80106734400 in words is "eighty billion, one hundred six million, seven hundred thirty-four thousand, four hundred".