80681600 has 96 divisors (see below), whose sum is σ = 209956800. Its totient is φ = 30551040.

The previous prime is 80681597. The next prime is 80681603. The reversal of 80681600 is 618608.

It is an interprime number because it is at equal distance from previous prime (80681597) and next prime (80681603).

It is not an unprimeable number, because it can be changed into a prime (80681603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60137 + ... + 61463.

It is an arithmetic number, because the mean of its divisors is an integer number (2187050).

Almost surely, 2^80681600 is an apocalyptic number.

80681600 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 80681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104978400).

80681600 is an abundant number, since it is smaller than the sum of its proper divisors (129275200).

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

80681600 is a wasteful number, since it uses less digits than its factorization.

80681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 80681600 is about 8982.2936937065. The cubic root of 80681600 is about 432.1071979058.

The spelling of 80681600 in words is "eighty million, six hundred eighty-one thousand, six hundred".